Derive the Schrodinger time-dependent equations for matter waves

Consider two quantum wavefunction solutions to the time-dependent Schrodinger equation for a particle, psi1 (x, t) and psi2(x,t). We are given that both psi1 (x, t) and psi2(x, t) are stationary states. Which of the following statements is true? psi1(x, t) + psi2(x, t) is also a solution to the time-dependent Schrodinger equation. psi1(x,t) + pdi2(x, t) is also a stationary state. If psi1(x, t) and psi2(x,t) are normalized, then psi1(x, t) + psi2(x,t) is also normalized. Neither psi1(x, t) nor psi2(x,t) are eigenstates of energy. Neither psi1(x,t) nor psi2(x, t) equated at any time t, are solutions to the time-independent Schrodinger equation.