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Suppose that and denote their Fourier transforms by and, respectively.Which of the following is the unique solution of the one dimensional wave equation coupled with the initial conditions?

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MCQs on Partial Differential Equations.


Suppose that<br><img src='https://www.fatskills.com/images2/GradExams/A4E47FD4-D868-4D99-A5C8-D21E81768930.png' height='22' width='190'/> and denote their Fourier transforms by<br><img src='https://www.fatskills.com/images2/GradExams/B6962E5C-2E85-4759-B2F6-F53DF2A7DD7B.png' height='24' width='16'/> and<br><img src='https://www.fatskills.com/images2/GradExams/869B184D-ED64-4EE7-AEF3-0C46970752B7.png' height='24' width='15'/>, respectively.Which of the following is the unique solution of the one dimensional wave equation<br><img src='https://www.fatskills.com/images2/GradExams/4DD73F47-7346-4593-A21D-E2C503BC8A96.png' height='22' width='266'/> coupled with the initial conditions<br><img src='https://www.fatskills.com/images2/GradExams/BE9A0B72-610C-4E5B-94B1-F15453C74DF5.png' height='20' width='275'/>?





 
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