HW: Solve the Partial Differential Equations by using separation of variables method: 4u xx = 0 U (0, t) = ux(1, t) = 0 u(x, 0) = f(x) = cos? nx u,(x, 0) g(r) = sin nx cos T X 0 < x < 1, t > 0, 12 0, 0

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A: Given partial differential equation is ∂2u∂x2=1c2∂2u∂t2, u0,t=u1,t=0, ux,0=2x and ∂ux,0∂t=10. We…

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A: Solution of the partial differential equations

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