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Undetermined coefficients 
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#1
Jan2209, 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 ?? 


#2
Jan2209, 09:45 PM

HW Helper
P: 6,207

Since '2' double root of your aux. eq'n.
the yp should be Ax^2e^2x 


#3
Jan2209, 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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