The wave equation 2-10² may be studied by separation of variables: u(x, t) = X(x)T(t). Which of the following is a possible solution of the above wave equation? O Ax+ B O cos(kx) sin(kt) O cos(kx)e-ket None of the choices apply cos(kex) sin(k If(x) = -k² X(x), what is the ODE obeyed by T(t)? [use T to mean T(t) and simplify your answer] d'T

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