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Undetermined coefficients

by s7b
Tags: coefficients, undetermined
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s7b
#1
Jan22-09, 09:42 PM
P: 26
How do I go about solving a DE using the method of undetermined coeficients in a question like for example;

y''-4y'+4y=2e^2x

I tried assuming the yp to be Ae^2x but when I plugged it into the DE I ended up with 0=2e^2x


??
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rock.freak667
#2
Jan22-09, 09:45 PM
HW Helper
P: 6,206
Since '2' double root of your aux. eq'n.

the yp should be Ax^2e^2x
s7b
#3
Jan22-09, 09:52 PM
P: 26
Once you substitute back into the original DE
Do you get:

8Ax^2e^2x + 2Ae^2x = 2e^2x


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