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## Homework Statement

If a state is a linear combination of two energy eigenstates, does its wavefunction satisfy the time independent shrodinger equation? I guess in general, how would I show if the wavefunctions of a state does or does not satisfy the time-independent schrodinger equation?

## Homework Equations

[tex]H\left| E \right\rangle=E\left|E\right\rangle[/tex]

[tex]\psi_\alpha(x)=\left\langle x |\alpha\right\rangle[/tex]

## The Attempt at a Solution

Honestly have no idea what to do.