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

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

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 .

Transcribed Image Text:

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