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Image transcription textProblem 02: a. Separate the equation

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Image transcription textProblem 02: a. Separate the equation: utt + 3ut – Uxx + u = 0 into two ODEs b. The diffusion equation withhomogeneous Neumann BCs Ut – 3uxx = 0, 0 < x < n,t > 0, ux(0, t) = 0 and ux(n, t) = 0 Has the solutionu(x, t) = -+En=1 Ane-3n’t cos(nx) Find the solution that satisfies the initial condition u(x, 0) = 2x, 0 < x < n... Show morepartial differential equationsCalculusMathDifferential EquationsMATH 1440261

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