Let us solve the following equation via separation of variables J²u(x, t) Ət² = 7 d²u(x, t) ?х2 a) After using the ansatz u(x, t) = X(x)T(t), which equations do you get? Pick only two. (below C' denotes a constant) 8²T(t) 0² X(x) 0²T(t) 0 8²X(x) əx² X(x) √7CT(t) 8²T(t) 01² = = CX(x) 1 T(t) 0 Ət² əx² 81² 0² X(x) √C X(x) əx² = = = = 7CT(t)

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