xy''+y'=-x(adsbygoogle = window.adsbygoogle || []).push({});

y(1)=0, y(0) bounded (so the natural log, 1/x etc. terms drop out)

homogeneous, cauchy euler: y=a+bx

variation of parameters, and using the conditions gives y=1-x, I think (i tried this previously and I think this is what I got, I didnt write it down). Very different from what I have on my solution handout.

First off, does it matter when to apply the bounded condition? (as in, do we drop the blnx term first? the problem here is variation of parameters doesnt work then),

Is there another way to solve a non-homogeneous cauchy euler besides using variation of parameters?

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# Cauchy Euler, non-homogeneous, weird condition

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