Question: Suppose that u(x, ) satisfies the following initial value problem: with u(, ) = u(, ) = 0, u(x, 0) = u

Suppose that u(x, τ ) satisfies the following initial value problem:

du on - л

with

u(−π, τ ) = u(π, τ ) = 0, u(x, 0) = u0(x).

Solve for u using a Fourier sine series in x, with coefficients depending on τ .

du on -

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