What is the solution of the time-dependent Schrdinger equation (x,t) for the total energy eigenfunction

What is the solution of the time-dependent Schrödinger equation ψ (x,t) for the total energy eigenfunction ψ _­(x) = √2/a sin (3πx/a) for an electron in a one-dimensional box of length 1.00 × 10⁻¹⁰ m? Write explicitly in terms of the parameters of the problem. Give numerical values for the angular frequency ω and the wavelength of the particle.