MATH 251 Final: MATH 251 PSU s251Final(fa11)
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A: c, c, d, c, a (a) t. Answer key (form a) (b) f (c) f (d) f (e) t (a) eigenvalues are != Eigenfunctions are x n = cos n = 1, 2, 3, . 2 (b) no, 0 is not an eigenvalue. X = 0, the trivial solution, is the only solution satisfies the boundary conditions. 36e!75t cos(5x) (b) lim t !" u(!, t) = 16 (c) it will be higher. In the insulated-end case, the steady-state temperature is going to be equal to the constant term of the initial condition (as expanded into a.
