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.
https://brainmass.com/math/calculus-and-analysis/second-order-differential-equations-28846
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Here are the solutions in two formats.
All solutions are Maple verified.
https://brainmass.com/math/calculus-and-analysis/second-order-differential-equations-28846