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## Homework Statement

This problem comes from the Griffiths QM book and is stated as "show that if V(x) is an even function then the solution to the time-independent Schroedinger equation can be taken to be either even or odd."

Now, I have seen the solution to this, but am not thoroughly convinced. Specifically, I do not see how the fact that psi(x) is a solution leads to psi(-x) to be a solution. It appears to be some variable manipulation, but I am wondering if there is simpler intuitive way of thinking about this.