Determine the y_particular solution
The Attempt at a Solution
I've tried this for hours but still don't get the correct value.
This is what I get:
The question is the same as the one I found from http://www4.ncsu.edu/eos/users/s/slc/www/COURSES/File2.pdf (Example 6.11.2).
The correct solution is as follows.
I get the coefficient for e^t is 1/8 and 1/16, but it says that the correct one is 1/4 and 0.
I really have no idea where I got wrong, please help me
It turns out that the method of parameter variation REALLY yields DIFFERENT PARTICULAR SOLUTION from method of undetermined coefficients,
Undetermined Coefficient: http://www4.ncsu.edu/eos/users/s/slc/www/COURSES/File2.pdf (Example 6.11.2)
Variation of Parameters: http://www.wolframalpha.com/input/?i=solve+x'+=+-x+++4y+++e^t,+y'+=+x-y+1
So which one is wrong, the undetermined coefficient or variation of parameter for this problem??
Or is it possible that those all are correct answers?
Please help. I'm so confused.