# Show that this function satisfies Schrödinger equation for hydogen?

## Homework Statement

Show that function

Y = C sin θ (5cos2θ - 1 )ei$\phi$

satisfies Scrhödinger equation for hydrogen?

## The Attempt at a Solution

I derivated the required elements of the equation but ended up to some messy equation with lots of sines and cosines here and there.. I checked the derivations with WolframAlpha and got the same result so they are ( I hope) correct. What exactly am I supposed to do?