If(x) = -²X(z), what is the ODE obeyed by T(t)? [use T to indicate T(t)] Which of the following solutions obey the boundary conditions X(0) = 0 and (L) = 0? [tick all that are correct-points will be deducted for wro answers] □ sin() □sin() sin() for k integer □sin(²) □sin(37) sin(. -) for k integer (2k+1)az 2L Which of the following is a possible solution of the above wave equation? ○ cos(kz)e-ket cos(kcz) sin(kt) O Ar + B ○ cos(kx) sin(kt) O None of the choices apply

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