au = дх2 Әt2 = = 22 u 8. Let u(x, t) be the solution of 0, where u(x, t) satisfies the boundary conditions u(0, t) = 0 a

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au = дх2 Әt2 = = 22 u 8. Let u(x, t) be the solution of 0, where u(x, t) satisfies the boundary conditions u(0, t) = 0 and u(77, t) = 0. Obtain the solution in the и form of a Fourier series by first looking for solutions of the form X (2)T(t). There are no initial conditions given, so your Fourier series answer will have coefficients that remain undetermined.