Topher925
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I feel like an idiot asking this, but I need a check on a derivation. Can anyone verify this for me or let me know if its wrong?
Expand the equation.
0 = m[tex]\frac{d}{dr}[/tex]([tex]\frac{1}{r}[/tex][tex]\frac{d}{dr}[/tex](ru))
[tex]\frac{d2u}{dr2}[/tex]+[tex]\frac{1}{r}[/tex][tex]\frac{du}{dr}[/tex]-[tex]\frac{u}{r2}[/tex] = 0
or
u'' + u'/r - u/r2 = 0
Homework Statement
Expand the equation.
Homework Equations
0 = m[tex]\frac{d}{dr}[/tex]([tex]\frac{1}{r}[/tex][tex]\frac{d}{dr}[/tex](ru))
The Attempt at a Solution
[tex]\frac{d2u}{dr2}[/tex]+[tex]\frac{1}{r}[/tex][tex]\frac{du}{dr}[/tex]-[tex]\frac{u}{r2}[/tex] = 0
or
u'' + u'/r - u/r2 = 0