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y'' + y = tan(t) +e^(3t) - 1 I've found the solution, but just want to make sure I'm understanding this right... I can take the particular solutions of y'' + y =tan(t) y''+ y = e^(3t) y'' + y = -1 and the solution to the homogeneous y'' + y = 0 and sum them up to get a general solution?

Differential Equations
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I think so.
http://tutorial.math.lamar.edu/Classes/DE/UndeterminedCoefficients.aspx Is a good reference for this sort of thing.
thanks GGG

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