What does show solutions to the schroedinger eqn mean?

[Kovalainen]

What does "show solutions to the schroedinger eqn" mean?

I'm sorry for the very beginner question, I'm a mature student who's just come back to University so I'm unaccustomed to the terminology.

The question has given us a wave function and asked us to show that at later times Ψ is a solution to the schroedinger equation.

Is all I need to do plug it in and show that LHS = RHS?

 

[Octonion]

If they ask specifically for \psi at later times then I'm guessing you may want to find the parts of \psi that become negligible for large t. Then plugging in it should work.

 

[nnnm4]

You're right. Write down the initial state, and then the time-dependent wave function, plug it into the Schrodinger Equation, it make sure it holds identically.