[UPSC CSE 2018] Schrodinger’s Wave equation and applications (Q156, 15M)

Which of the following functions is/are acceptable solution(s) of the Schrodinger equation?

(i) \psi(x)=Ae^{-ikx}+Be^{ikx}

(ii) \psi(x)=Ae^{-kx}+Be^{kx}

(iii) \psi(x)=A\sin 3kx+B\cos 5kx

(iv) \psi(x)=A\sin 3kx+B\sin 5kx

(v) \psi(x)=A\tan kx Explain your answer.