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accountkiller
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Homework Statement
Find a particular solution of y'' + 2y' + 5y = e^x * sin(x)
Homework Equations
The Attempt at a Solution
Characteristic equation: r^2 + 2r + 5 = 0. Through quadratic formula, r1 = -1+2i and r2 = -1-2i, so my homogeneous equation is y_h = c1 * e^(-x) cos(2x) + c2 * e^(-x) * sin(2x).
Now, I need to use the undetermined coefficients method. How? I'm trying to figure out what exactly this undetermined coefficients method is, as my notes from lecture are confusing. And the e^x * sin(x) on the right looks like it would make things difficult.
I'd appreciate any guidance in the right direction, thanks!