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Assume that the Fourier sine series representation of f is.Which of the following is the unique solution of the one dimensional heat equation oncoupled with homogenous Neumann boundary conditions and initial condition?

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MCQs on Partial Differential Equations.


Assume that the Fourier sine series representation of f is<br><img src='https://www.fatskills.com/images2/GradExams/551CEBBE-5A5E-416E-B794-E5033830B67C.png' height='22' width='123'/>.Which of the following is the unique solution of the one dimensional heat equation<br><img src='https://www.fatskills.com/images2/GradExams/177269B8-6123-43FF-B195-570807EAD014.png' height='22' width='84'/> on<br><img src='https://www.fatskills.com/images2/GradExams/97EE8761-9916-48E8-9864-EF8FD459199F.png' height='20' width='42'/>coupled with homogenous Neumann boundary conditions<br><img src='https://www.fatskills.com/images2/GradExams/F985666F-463D-4798-9294-B02FE4C30E23.png' height='20' width='257'/> and initial condition<br><img src='https://www.fatskills.com/images2/GradExams/B7DCFD7A-77C7-4A4D-8CDA-9F8C152C73AA.png' height='20' width='214'/>?





 
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