Question

Write the example of one dimensional wave equation on [0, 4]. (Write out the system of...

Write the example of one dimensional wave equation on [0, 4]. (Write out the system of the PDEs)

The boundary condition:

At x = 4 is a homogeneous Dirichelet boundary condition

At x = 0 is a homogeneous Neumann boundary condition.

The initial condition of the displacement at t = 0 is x

The initial velocity at t = 0 is 1.

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Any query then comment below.. I will explain you.

Here. Value of An and Bn , we already calculate in 2nd image...

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