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[SOLVED] Find Ansatz for this ODE (3.5.15)

ognik

Active member
Feb 3, 2015
471
Hi - I'm given: $ y'' + y' - 2y = \frac{e^{x}}{x} $

What is a good Ansatz to find the particular solution? I've tried a few that haven't worked...Thanks
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Hi - I'm given: $ y'' + y' - 2y = \frac{e^{x}}{x} $

What is a good Ansatz to find the particular solution? I've tried a few that haven't worked...Thanks
According to W|A, the particular solution is not expressible in terms of elementary functions. Are you certain you have the problem copied correctly?
 

ognik

Active member
Feb 3, 2015
471
Copied OK, probably typo in book - if the driving function was just $e^x$ it would be more sensible