Undetermined coefficients

  • Thread starter s7b
  • Start date
  • #1
s7b
26
0
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


??
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Since '2' double root of your aux. eq'n.

the yp should be Ax^2e^2x
 
  • #3
s7b
26
0
Once you substitute back into the original DE
Do you get:

8Ax^2e^2x + 2Ae^2x = 2e^2x
 

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