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Solve the boundary value problem by the method of separation of variables: ut = 81 uxx, 0 0, u(0, t) = 0, u(4, t) = 0, t > 0 (Hints: The eigenvalue problem y" + lamda y = 0, y(0) = 0, y(L) = 0 has eigenvalues lamda n = n2pi2/L2 and the corresponding eigenfunctions yn = sin(n pi x/L), n = 1, 2, ... .)
help me
Solve the boundary value problem by the method of separation of variables: ut = 81 uxx, 0 0, u(0, t) = 0, u(4, t) = 0, t > 0 (Hints: The eigenvalue problem y" + lamda y = 0, y(0) = 0, y(L) = 0 has eigenvalues lamda n = n2pi2/L2 and the corresponding eigenfunctions yn = sin(n pi x/L), n = 1, 2, ... .)
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