Hello everyone. I have tried this problem a couple times and seem to get it wrong.

Find a particular solution to

Any help would be appreciated

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- February 25th 2010, 04:17 PMpalmaasVariation of Parameters
Hello everyone. I have tried this problem a couple times and seem to get it wrong.

Find a particular solution to

Any help would be appreciated - February 26th 2010, 06:13 AMMauritzvdworm
its a bit tedeous...

firstly we have to consider the homogenous equation

which has solution

using the variation of parameters theorem we see that

with calculted using the Wronskian determinant

so we can then see that

and after substituting and turning the crank we end up with

which is simple to integrate, we then find the final answer of

The final anwer will then just be the superposition of the particular and complimentary solutions - February 26th 2010, 09:21 AMpalmaas
Thanks for the help!

I assume that the arctan(x) is supposed to be arctan(t) eh? I still get the wrong answer with that, but it does give me something to build off of. Thanks again!