- #1
the0
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Homework Statement
The problem is to solve:
[itex]y''-2y'+5y = e^{x}(cos^{2}(x)+x^{2})[/itex]
Homework Equations
The Attempt at a Solution
I (think I) have solved the associated homogeneous equation:
[itex]y''-2y'+5y = 0[/itex]
giving the solution as:
[itex]y_{h} = e^{x}(C_{1}cos(2x)+C_{2}sin(2x))[/itex]
(This could of course be rearranged using the trig identities... would that help?)
And now I don't know how to go about finding a particular solution, could somebody please point me in the right direction as to which method I could use?
Thanks a lot!