HW: Solve the Partial Differential Equations by using separation of variables method: - U11 – 4uxx = 0 ux(0, 1) = ux(1,
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HW: Solve the Partial Differential Equations by using separation of variables method: - U11 – 4uxx = 0 ux(0, 1) = ux(1,
HW: Solve the Partial Differential Equations by using separation of variables method: - U11 – 4uxx = 0 ux(0, 1) = ux(1, 1) = 0 u(x,0) = f(x) = cos X U (x,0) = g(x) = sin? TX COS X 0 < x < 1, t > 0, t> 0 0<x< 1, 0<x<1. = Answer: t + 4 u(x, t): 1) = } + (cox 201 + '* sin 2016) cos 2nx + 2 t. 2
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