Monday, May 18, 2020
Letter of Advice - Free Essay Example
Sample details Pages: 8 Words: 2306 Downloads: 1 Date added: 2017/06/26 Category Law Essay Type Narrative essay Tags: Advice Essay Did you like this example? Dear Sir, RE: ADVICE ON ALLEGATIONS MADE AGAINST YOU. We have received your email on17th December 2014 and are now pleased to advise you on the matter. 2.0MATERIAL FACTS 2.1That you had received a document from a man in uniform due to the complaint made against you by the public for causing a nuisance while you are busking at Central Market. 2.2You were instructed to leave KL Sentral by another man in uniform as you were alleged to violate the Legislation of the Railways. 2.3You have made known to us that you received a letter by a group of purity appraising that your music diluting the cultural norms of Malaysia as jazz was American in origin and it assassinating the minds of Malaysian classical music. 2.4You had recorded some of performance in KL Sentral digitally and your recording company had made an arrangement for that music to be released in EP format via iTunes. Subsequently, two musicians claimed that you stole their music as you had plagiarized their tunes for the EP and they are now wanting a share of the profits. 2.5You had received a complaint letter that some viewers of your live performance video in KL Sentral on YouTube had sustained serious personal injury, i.e sprained ankles, bruising and small cuts due to your failure to put the disclaimer not to try the dance at home or in confined space without proper equipment. 2.6That AMRSVT is claiming for loss of profit as they claimed that your performance had attracted the crowd, which made it difficult for other passengers to move around and visit their stalls and shops. 3.0LEGAL ISSUES 3.1Whether there is any permit required to busk? 3.1.1You have mentioned that you had not obtained any permit to perform in Central Market and KL Sentral. In our opinion, a permit is essential to be obtained from the municipal council. In this case, since you perform in the district of Kuala Lumpur, a permit should be obtained from the DBKL. The Early in the ye ar 2013, DBKL has implemented that all street entertainers are required to apply for a permit in order to perform in public. The aim of the permit is to be obtained to regulate the street buskers. Hence, a permit from DBKL is required. 3.1.2Since you had not obtained any permit, no issue on remedy available to you under this issue. 3.2Whether you can be liable for nuisance? 3.2.1You have mentioned that that certain member of the public made a complaint against you for public nuisance. 3.2.2Public nuisance arises when an act materially affects the reasonable comfort and convenience the life of a class of the society. In the case of Majlis Perbandaran Pulau Pinang v Boey Siew Than Ors [1979] 2 MLJ 127, only a person who has suffered special damage can claim for damages for public nuisance. The Plaintiff has to prove that he has suffered damages or injury over and above the ordinary convenience suffered by the public at large. 3.2.3The followings are to determine the ex istence of special particular damage: (i) the type or extent of damage is more serious, The Plaintiff must suffer more than what is suffered by other persons who are exposed to the same interference. (ii) The damage must be a direct consequence and is substantial. In the case of Pacific Engineering v Haji Ahmad Rice Mill Ltd [1966] 1 LNS 128, the Plaintiff had proved that they suffered personal discomfort and injury to property thereby satisfying the requirement special damage. An injunction preventing the Defendant from burning rice husks in the compound of their premises was granted. The court held that in action for public nuisance, a Plaintiff may institute proceeding without obtaining prior consent from the Attorney General (AG) if he suffered special damage. 3.2.4If no special damage suffered by any particular individuals, section 8(1) of the Government Proceeding Act 1956 provides that the AG, or two or more persons who have obtained written permission from the AG, may ins titute a suit in public nuisance for a declaration a injunction or for such other relief as may be appropriate to the circumstances of the case. In Koperasi Pasaraya Malaysia Bd v Uda Holdings Sdn Bhd [2002] MLJU 521, it was held that in action for public nuisance, consent must be first obtained from the AG. 3.2.5 By applying the law to your situation, you have mentioned that the certain member of the public was the AMRSVT who lodged a report against you.They claimed that they suffered loss of profit as your busking had attracted the crowd which made it difficult for other passengers and passerby to move around and visit their stalls and shops. You also mentioned that you managed to get the people to dance for your live performance at KL Sentral. Hence, the allegation of the AMRSVT is in line since your performance fascinated the crowd which caused them to suffer a direct consequence and a substantial damage. Hence, we are of opinion that they might be successful in their action against you. 3.3Whether you can be liable for a violation of railways legislation? 3.3.1According to section 59 (a) of the Railways Act 1991 (RWA), any person who behaves in a disorderly or offensive manner or commits any nuisance on a railway coach or upon any railway premises; or assaults, hinders or obstructs a railway officer in the execution of his duties, shall be guilty of an offence and shall on conviction be liable to a fine not exceeding one thousand ringgit or to imprisonment for a term not exceeding three months or to both. 3.3.2You had mentioned to us that you have managed to attract the crowd and not only that, the crowd even dance when they watched your performance at KL Sentral. As discussed above, your acts may constitute a nuisance to the public. You mentioned that you had refused to leave the place when you were told to by the officer of the KTMB. Hence, we are afraid that you have violated the regulation of the RWA when you committed the act of nuisance and impeded the instruction of the officer to leave the place when he was in the execution of his duties as a railways officer. Hence, you may be exposed to a fine not exceeding one thousand ringgit or to imprisonment for a term not exceeding three months or to both. 3.4Whether the group of that person has right to stop you from playing your music in public as they alleged your music diluting the cultural norms of Malaysia? 3.4.1You have mentioned that you had received a letter from Purity to stop you from playing in public. They alleged your playing diluting the cultural norms of Malaysia because the jazz was American in origin. They also alleged that you are poisoning the minds of the youths by playing unstructured music which is contrary to the rigid structure and discipline of Malaysian classical music. 3.4.2We are advising that until to date, there is no provision under the law or legislative body authorized by the government of Malaysia declaring the technical natured to cultural norms for Malaysia. As far as we concerned, your performance was simply to reach the public with the nature of the music. It may depend on the content of the lyrics. The accusation on influencing the minds and cultural norms of Malaysia and Malaysia classical music cannot stand on its own since jazz music has been accepted in Malaysia without restriction. Hence, we are of view that the Purity has no cause of action against you. 3.5Whether you can be liable for plagiarism as alleged by Mdm Anna Leese Laniza Achmed? 3.5.1 By virtue of section 13 of the Copyright Act 1987 (CA), in order to establish a claim of copyright infringement the plaintiff need to prove: (1) that the Plaintiff own the copyright in his work; (2) that the Plaintiff work is original; (3) that the defendant copied the work; (4) that there is substantial similarity between the Plaintiffà ¢Ã¢â ¬Ã¢â ¢s work and the defendants work; and (5) that the part copied by the defendant was a substantial part of the Defendantà ¢Ã¢â ¬Ã¢â ¢s work. 3.5.2 Section 26A of the CA provides once notification of copyright has been recorded in the Register, the onus of disproving that copyright subsists in the work shifts to the alleged infringer. 3.5.3As to requirement (1), Mdm Anna Leese and Laniza Achmed basically acquire the copyright in the song if they have put it into a fixed form, e.g. In writing or in a recording. Registration and other formalities are generally not necessary to acquire the copyright. However, registration of the copyright will come in useful as evidence to show the ownership of the copyright. Hence, if there is notification of copyright has been recorded by them, the onus of disproving that copyright subsists in the work will shift to you. As to the requirement (2), originality simply means that the song must have come from them and that they must have put some effort into it. On to requirement (3) they need to prove to the court that you have access to t he music. Substantial similarity in requirement (4) means that there should be a high degree of similarity between the two songs which is more likely to be the result of copying rather than mere coincidence. In considering whether there is substantial similarity, features that are commonplace, and unoriginal are usually disregarded. In Requirement (5) as long as the part the music is distinctive enough that it is recognizable as their song, therefore, that amounts to a substantial part the length does not matter as long it is sufficiently similar and the reasonable people would notice the similarities between the music. We are of opinion that if they are claiming that you had stolen their music is difficult to be proved unless they can prove that they are protected under the law of intellectual property. 3.6Whether you can be liable for the injuries of the YouTube viewers? 3.6.1 You have mentioned that a class action lawsuit filed against you by YouTube viewers from New York w ho watched the video of your live performance on YouTube and followed suit by dancing in their room sustained serious personal injuries. They claimed that you should put a disclaimer of à ¢Ã¢â ¬Ã
âDo not try this at home or in a confined space without proper equipmentà ¢Ã¢â ¬Ã . 3.6.2 In the case of Palmco Holding Bhd v Sakapp Commodities (M) Sdn Bhd Ors [1988] 2 MLJ 624, in order to succeed in a representative action, the plaintiff must satisfy three requirements. They are: (1) the plaintiff and those represented by it are members of a class and that these members have a common interest; (2) the plaintiff and those it represents have a common grievance; (3) the relief sought is in its nature beneficial to them all. 3.6.3In the present case, the plaintiffs and those represented by it have satisfied all three requirements hence the representative action of the Plaintiff might be successful. However, the viewer may not have privileges to take action against you becaus e the terms and conditions only apply between you and YouTube. YouTube makes no warranties or representations about the accuracy or completeness of this sites content or the content of any sites linked to this site and assumes no liability or responsibility for any personal injury or conduct of any third party. Therefore, we are in view you will not liable for not inserting the disclaimer in the video. 3.7Whether you are liable for the loss of profit suffered by AMRSVT? 3.7.1 Based on your letter, we have understood that AMRSVT are claiming for loss of profit as they claim that Miloà ¢Ã¢â ¬Ã¢â ¢s busking had attracted them crowd, which made it difficult for other passengers and passerby to move around and visit their stalls and shops in Central Market and KL Sentral. We have understood that AMRSVT is claiming liability from you for loss of profit. Generally, pure economic loss is recoverable under the law. However, the extent of the negligent act should be assessed with c aution to determine the liability of the defendant. This means that the companyà ¢Ã¢â ¬Ã¢â ¢s claim would depend on (1) whether there is sufficient proximity between the Plaintiff and the Defendant and (2) whether the pure economic loss was reasonably foreseeable as mentioned in the case of Steven Phoa Cheng Loon V Highland Properties Sdn Bhd [2003] 1 MLJ 567. 3.7.2We are of the view that for AMRSVT claims to be successful, the burden of proving such allegations lies on him. Therefore, he must first satisfy the court that there is an appropriate proximity between you and him. An appropriate proximity is determined to see whether it was indeed the act of the defendant that had caused the pure economic loss. As discussed above, you might be liable for nuisance for attracting the crowd to watch your performance. Should AMRSVT prove that there is a negligent act done by you which had caused the pure economic loss to the them. However, if they can prove there is negligence on you r part, his claim for damages as a result of his loss of business being affected by your act attracting the crowd however it is too remote and is not foreseeable. It is not foreseeable that such act would have caused loss to their business as the crowd logically would have been their prospect. Thus, this claim may be deemed as too remote. Therefore, it can be said that the claim by AMRSVT might not be successful in his claim unless they can prove otherwise. 4.0CONCLUSION 4.1We shall be pleased to represent you in any legal action filed by the above parties and also to file a defence on your behalf if you wish to take the matters to the court. We hope that our advices are sufficient for your present needs. If you have any further inquiries, please do not hesitate to contact us. Yours sincerely, à ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦ à ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦. (NABILA BINTI MOHD NOORDIN) For and on behalf of Tetuan Haziq Hafidz Rakan-Rakan. Donââ¬â¢t waste time! Our writers will create an original "Letter of Advice" essay for you Create order
Saturday, May 16, 2020
George Orwell s Animal Farm - 1984 Words
In the novel Animal Farm, by George Orwell, and the film Elysium, directed by Neill Blomkamp, the authors present a world where inequality between different social classes is evident. Both Orwell and Blomkamp explore the idea of inequality by setting their text in a society where the weak are oppressed by the strong who have power and authority over them. In Animal Farm, Napoleon takes over the farm and becomes a dictator, setting a hierarchy of power to sustain power. Whilst in Elysium, Max, the main protagonist, fights back against the authority of Elysium and sacrifices his life to ensure free healthcare for all back on Earth. To explore the idea of inequality, both authors uses symbolism to explore the theme of oppression, theâ⬠¦show more contentâ⬠¦The seven commandments in Animal Farm are initially made to ensure that all animals are equal and have no connection to humans at all. However, over time Napoleon through his assistant Squealer manipulate the seven commandme nts, taking advantage of the fact of that most animals are Illiterates. The pigs distort the commandments to suit their own selfish interests, like when Napoleon changes the commandment about drinking. Changing it from ââ¬ËNo animal shall drink alcohol,ââ¬â¢ to ââ¬ËNo animal shall drink alcohol to excess,ââ¬â¢ which oppresses the other animals, as the subtle changes to the commandments allow the pigs to manipulate and control the other animals without any protest, as the new laws allow the pigs to do whatever they want. The pigsââ¬â¢ superior intelligence and education allow them to bring the other animals into submission through the use of propaganda and revisionism of the seven commandants. However in Elysium, security robots made by the company Armadyne, can be seen as the main symbol of oppression in the film. The security robots are made to keep the peace however use unnecessary force to subdue people. Security robots are programmed to maintain the earth-bound populace and stopping them from reaching Elysium. Security robots are equipped with batons and advance weaponry and a variety of combat skills. The Mise en scene reveals that
Wednesday, May 6, 2020
Adequate Nutrition in Vegetarian Diets Essay - 2999 Words
Vegetarians have diets as safe and nutritious as non-vegetarian diets. Whether someone chooses a vegetarian diet to preserve animal rights or to improve his health, his diet can be planned and maintained. Every vegetarian diet is different from another, but as long as a vegetarian learns what foods to include in his diet, he can meet all his nutritional needs contrary to common misconceptions. With careful planning, a vegetarian diet can provide all the nutrients a human body needs. First of all, to study vegetarianism everyone must have a basic understanding of the different types of vegetarians. Although every book and article discusses the categories of vegetarians slightly differently, a few large classifications remainâ⬠¦show more contentâ⬠¦The Vegetarian Sports Nutrition Guide by Lisa Dorfman states that ââ¬Å"Animal products contain all essential amino acids, while plant products may be limiting in one or two. Most people donââ¬â¢t even realize that grains vegetables, soy, and nuts contain protein. Thatââ¬â¢s why the first question a meat eater asks when meeting a vegetarian is, ââ¬ËHow do you get enough protein?ââ¬â¢ (Dorfman 72). Many non-vegetarians would be surprised to find that vegetarians can consume enough protein in foods coming from plant sources because they assume everyone meets their protein needs by eating meat. Vegetarians need to become aware of the risks involved in protein deficiencies and where to find alterna tive protein sources so that they can add enough protein to their diets. Every vegetarian needs to make sure to consume enough protein because of the devastating effects of a protein deficient diet. A protein deficiency, according to Dixie Farley in an May 1994 issue of FDA Consumer Magazine, ââ¬Å"â⬠¦in children can impair growth and in adults can cause loss of hair and muscle mass and abnormal accumulation of fluidâ⬠(Pluses 2). Although these problems occur in protein deficient diets, protein deficiencies do not commonly occur. Editors of Vegetarian Times state that ââ¬Å"â⬠¦protein deficiency in this country is so rare that many nutritionists and doctors wouldnââ¬â¢t even know the symptoms if they were faced with themâ⬠(EditorsShow MoreRelatedEssay on The Vegetarian Diet Nutrition612 Words à |à 3 PagesThe Vegetarian Diet Nutrition Vegetarianism can be a very healthy option but only if your vegetarian diet plan is well balanced. This means eating a variety of foods including grains, fruit and vegetables, beans, pulses, nuts or seeds, a small amount of fat, with or without dairy products. 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Conduct a Marketing Audit Major Assignment - 10193 Words
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Jetblue Mission/Vision Satatement free essay sample
JetBlueââ¬â¢s Mission Statement JetBlue currently files its mission statement under an annual report heading of ââ¬Å"Our Value Proposition. â⬠This mission statement appears as more of a slogan and is quickly dispensed in one sentence: ââ¬Å"Our mission is to bring humanity back to air travelâ⬠(ââ¬Å"JetBlue Annual Report, 2010). However, as the expanded mission description and incorporated vision attest, successive statements further expand on the corporate goals. These four statements read as follows: â⬠¢ High Quality Service and Product â⬠¢ Low Operating Costs â⬠¢ Brand Strength â⬠¢ Strength of Our People The company has never formalized a standard vision plan or traditional vision statement, as noted in the 2003 interview with Nigel Adams, Vice President of Customer Service. ââ¬Å"One of our values is fun,â⬠Adams said, ââ¬Å"Were allowed to have fun, were supposed to have fun, and that comes from the topâ⬠(Judd, 2003). JetBlue replaces a formalized mission statement with five core values: safety, caring, fun, integrity, and passion (Judd, 2003). We will write a custom essay sample on Jetblue Mission/Vision Satatement or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page These five values are deemed so significant that they are printed on every paper paycheck JetBlue issues (ââ¬Å"Effectively Managing,â⬠2004). These values also provide the framework for the companyââ¬â¢s culture, as noted by Chief Security Officer, Usto Schultz. Adams agrees, and posits that once a companyââ¬â¢s values are framed, the companyââ¬â¢s culture carries itself (Judd, 2003). As the annual report (2005) states, JetBlue looks ââ¬Å"enhance the JetBlue experience to further differentiate our company from the competition. â⬠JetBlueââ¬â¢s culture embodies what it considers the crucial ââ¬Å"three Psâ⬠that are introduced by high-level offers to each new employee on his or her first day of orientation: people, performance, and prosperity. Founder David Neeleman stated in 2004 that he attends a portion of the multi-day orientation program, and he speaks to staff regarding how customers (passengers) are to be treated. ââ¬Å"It is vital that everyone understands and believes in our philosophy about treating people,â⬠he says (Ford, 2004). JetBlue teaches its staff that each of the three Ps has measurements associated with it that help JetBlue translate the essential core values into quantifiable terms (ââ¬Å"Effectively Managing,â⬠2004). Although the three Ps have associated, measurable subtopics, one usual corporate objective is lacking: growth. JetBlue places company expansion under its business plan rather than mixed in with its employee expectations (ââ¬Å"Effectively Managing,â⬠2004). JetBlue tempers its mission considerably via its famous 2007-penned document, JetBlueââ¬â¢s Customer Bill of Rights. Drafted in response to an 11-hour stranding of passengers on a JFK tarmac, this document specifies refund options and dollar amounts awarded as compensation for cancelled flights (Barney and Hesterly, 2010). Founder and former CEO, Dave Neeleman has summed up another component of his companyââ¬â¢s philosophy after JetBlue infuriated customers by releasing manifest and account information to the Pentagon after 9/11. Speaking on behalf of the entire JetBlue team, Neeleman commented, ââ¬Å"When we make a mistake, we admit it, and we do what we can to make it rightâ⬠(Peterson, 2004). Enhancing JetBlueââ¬â¢s Mission Statement JetBlue should put together more than a 10-word sentence in order to convey the firmââ¬â¢s mission. Values could be separated by making the five core omponents bullet points. A new version could read as follows: JetBlue strives to put the customerââ¬â¢s care first in its efforts to retain humanity in air travel. We stress the following core values, on which every JetBlue employee is trained: â⬠¢ Safety â⬠¢ Integrity â⬠¢ Passion â⬠¢ Caring â⬠¢ Fun JetBlueââ¬â¢s employees work as team players to ensure customers are more than passe ngers shuttled about. We want our customers to find our low fares and extra-mile employee service to be such an accommodating blend that they choose JetBlue time and again. We will continually revamp our Customer Bill of Rights so all air travelers can be assured of JetBlueââ¬â¢s ongoing commitment to fair treatment and good value. JetBlueââ¬â¢s Potential Vision Statement This segment details JetBlue possibly formalizing a vision statement in 2011. JetBlueââ¬â¢s 2005 annual report features a quotation from then-CEO David Neeleman that serves as a summation of company vision: ââ¬Å"As JetBlue continues to grow, we know our commitment to friendly, helpful service, combined with amenities customers want, will continue to keep JetBlue #1 in the eyes of our customersâ⬠(ââ¬Å"JetBlue Annual Report,â⬠2005). That statement reads well within that six year-old annual report. JetBlue has grown substantially since 2005 and Neeleman since has been replaced by Dave Barger as CEO (ââ¬Å"JetBlue Annual Report,â⬠2010). Barger could expand on the Neelmanââ¬â¢s vision and offer the following vision in 2011: JetBlueââ¬â¢s vision is one of continual emphasis on providing competitive rates for customers for all of our destinations. We will strive to maintain our industry-standard lowest cost-per-mile, and will continually seek new strategies and technologies that keep down the costs for every one of our flight routes. We foresee JetBlue as a value-driven leader, understanding that as a lower-cost carrier we will surpass customer expectations by offering noticeable amenities such as wider seats and satellite radio channels to improve the in-flight journey. As JetBlue continues to expand into new regional markets, it wonââ¬â¢t need to change its vision or mission statements so long as the company remains true to being a low-cost carrier that strives to provide on-time service with the most competitive airfares in the industry. References
Tuesday, May 5, 2020
Differential Equation free essay sample
Assume that the resulting system is linear and time-invariant. x[n] O + r0n] D y[n] +1 3 -2 Figure P6. 5 (a) Find the direct form I realization of the difference equation. (b) Find the difference equation described by the direct form I realization. (c) Consider the intermediate signal r[n] in Figure P6. 5. (i) Find the relation between r[n] and y[n]. (ii) Find the relation between r[n] and x[n]. (iii) Using your answers to parts (i) and (ii), verify that the relation between y[n] and x[n] in the direct form II realization is the same as your answer to part (b). Systems Represented by Differential and Difference Equations / Problems P6-3 P6. 6 Consider the following differential equation governing an LTI system. dx(t) dytt) dt + ay(t) = b di + cx(t) dt dt (P6. 6-1) (a) Draw the direct form I realization of eq. (P6. 6-1). (b) Draw the direct form II realization of eq. (P6. 6-1). Optional Problems P6. 7 Consider the block diagram in Figure P6. 7. The system is causal and is initially at rest. r [n] x [n] + D y [n] -4 Figure P6. 7 (a) Find the difference equation relating x[n] and y[n]. (b) For x[n] = [n], find r[n] for all n. (c) Find the system impulse response. P6. 8 Consider the system shown in Figure P6. 8. Find the differential equation relating x(t) and y(t). x(t) + r(t) + y t a Figure P6. 8 b Signals and Systems P6-4 P6. 9 Consider the following difference equation: y[n] ly[n 1] = x[n] (P6. 9-1) (P6. 9-2) with x[n] = K(cos gon)u[n] Assume that the solution y[n] consists of the sum of a particular solution y,[n] to eq. (P6. 9-1) for n 0 and a homogeneous solution yjn] satisfying the equation Yh[flI 12Yhn 1] = 0. (a) If we assume that Yh[n] = Az, what value must be chosen for zo? (b) If we assume that for n 0, y,[n] = B cos(Qon + 0), what are the values of B and 0? [Hint: It is convenient to view x[n] = Re{Kejonu[n]} and y[n] = Re{Yeonu[n]}, where Y is a complex number to be determined. P6. 10 Show that if r(t) satisfies the homogeneous differential equation m d=r(t) dt 0 and if s(t) is the response of an arbitrary LTI system H to the input r(t), then s(t) satisfies the same homogeneous differential equation. P6. 11 (a) Consider the homogeneous differential equation N dky) k~=0 dtk (P6. 11-1) k=ak Show that if so is a solution of the equation p(s) = E akss k=O N = 0, (P6. 11-2) then Aeso is a solution of eq. (P6. 11-1), where A is an arbitrary complex constant. (b) The polynomial p(s) in eq. (P6. 11-2) can be factored in terms of its roots S1, ,S,. : p(s) = aN(S SI)1P(S tiplicities. Note that S2)2 . . . (S Sr)ar, where the si are the distinct solutions of eq. (P6. 11-2) and the a are their mulà U+ 1 o2 + + Ur = N In general, if a, gt; 1, then not only is Ae a solution of eq. (P6. 11-1) but so is Atiesi as long as j is an integer greater than or equal to zero and less than or Systems Represented by Differential and Difference Equations / Problems P6-5 equal to oa 1. To illustrate this, show that if ao = 2, then Atesi is a solution of eq. (P6. 11-1). [Hint: Show that if s is an arbitrary complex number, then N ak dtk = Ap(s)te t + A estI Thus, the most general solution of eq. P6. 11-1) is p ci-1 ( i=1 j=0 Aesi , where the Ai, are arbitrary complex constants. (c) Solve the following homogeneous differential equation with the specified auxà iliary conditions. d 2 y(t) 2 dt2 + 2 dy(t) + y(t) = 0, dt y(0) = 1, y'() = 1 MIT OpenCourseWare http://ocw. mit. edu Resource: Signals and Systems Professor Alan V. Oppenheim The following may not correspond to a partic ular course on MIT OpenCourseWare, but has been provided by the author as an individual learning resource. For information about citing these materials or our Terms of Use, visit: http://ocw. mit. edu/terms.
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