Question: Problem 02: a. Separate the equation: utt + 3ut - Uxx + u = 0 into two ODEs b. The diffusion equation with homogeneous Neumann

Problem 02: a. Separate the equation: utt + 3ut - Uxx + u = 0 into two ODEs b. The diffusion equation with homogeneous Neumann BCs Ut - 3uxx = 0, 0 0, ux(0, t) = 0 and ux(n, t) = 0 Has the solution u(x, t) = -+En=1 Ane-3n't cos(nx) Find the solution that satisfies the initial condition u(x, 0) = 2x, 0

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