I got this book from WILEY by Erwin Kreyszig. It tells how to solved homogenous cauchy equations. It also covers simple nonhomogenous equations.(adsbygoogle = window.adsbygoogle || []).push({});

But it doesn't cover when we have nonhomogenous Cauchy equations like this one.

x2y''-xy'+y=lnx

How do I go about solving that equation?

I substituted x=e ^t and obtained the homogeneous solution yh=c1*x+c2*x

but there is still the partial solution (yp).

Any idea?

final answer should be y=yh+yp

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# Nonhomogeneous DEs

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