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September 16th, 2010, 12:26 PM   #1
Joined: Sep 2010

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General Solution to Linear, Homogenious ODE

I need to solve d/dx(e^(-(x^2))*(du/dx))=u+x*(du/dx)
I get e^(-(x^2))*u''-2xe^(-(x^2))*u'=u+x*u'
but I have no idea how to approach the problem from here. Can somebody please help?
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general, homogenious, linear, ode, solution

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