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**1. Homework Statement**

Consider an electron in the hydrogen atom with radial wave function [tex]R_{31}[/tex] (n=3, l=1). Please verify that this radial function verifies the radial equation.

**2. Homework Equations**

The radial equation

[tex]\frac{1}{r^{2}}[/tex][tex]\frac{d}{dr}[/tex][tex]\left(r^{2}\frac{dR}{dr}\right)[/tex] + [tex]\frac{2\mu}{h^{2}}[/tex][tex]\left[E-V-\frac{h^{2}}{2\mu}\frac{l\left(l+1\right)}{r^{2}}\right][/tex]R = 0

**3. The Attempt at a Solution**

Ok so I found the corresponding solution for the given radial wave funtion, and I think I'm supposed to set that equal to A, some constant, times [tex]e^{\frac{-r}{3a_{0}}}[/tex]

and then plug that into the original radial wave function? I'm not really sure of what I'm supposed to do here.

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