3. Write the form of yp that is needed for method of undetermined coefficients. You need not provide the general solution to the DE. (10 points each) a. y'' + 7y' + 12y = 2cos(3t) b. y'' + 4y' + 4y = 3te^{-4t} 4. Solve the (find the general solution) of the following non-homogeneous DE. (20 points) y'' + 6y' + 9y = sin(3t)
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For the first equation, y'' + 7y' + 12y = 2cos(3t), we need to find a particular solution Y_p. Since the right-hand side is a cosine function, we can assume that the particular solution will be of the form: Y_p = A\cos(3t) + B\sin(3t) Show more…
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