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Second order differential equations

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See the attached file.
(Fun) 3. Find the general solution using the method of undetermined coefficients:
y" - 2y' - 3y = t +e^-t

(More Fun) 4. Find the general solution using the method of undetermined coefficients:
y" + 4y = [sin(t)]^2
(Hint: Express sin²t in terms of cos2t)

(Most Fun) 5. Find the general solution using the method of undetermined coefficients:
y" + 2y' + 2y = e^(-x) cosx.

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The solution shows how to use the method of undetermined coefficients. It includes 9 pages with full derivations.

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