- #1
rjg6
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Homework Statement
I am attempting to solve the 2nd order ODE as follows using the generalized solution to the Bessel's equation
Homework Equations
original ODE:
x[tex]d^{2}y/dx^{2}[/tex]-3[tex]dy/dx[/tex]+xy=0
The Attempt at a Solution
My first thought is to bring out an x^-1 outside of the function so that I end up with:
[tex]x^{-1}([/tex][tex]x^{2}[/tex][tex]d^{2}y/dx^{2}[/tex]-3x[tex]dy/dx[/tex]+[tex]x^{2}[/tex]y)=0
I would then solve the resulting Bessel equation found inside the parentheses, and multiply the resulting solution by x^-1. Is this at all a legal operation? Thank you.