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1. Solve the ditTerential equation y'' + 3y' + 2y = 4e-x by doing the following steps and answering the following questions
a. Find yc.
b. Find the annihilator for 4e-x and operate it on both sides of the ditTerential equation.
c. Find the form of the general solution to the DE and then find the form of yP
d. Find all the values of the undetermined coefficients by plugging yp and its derivatives into the original DE. Write out the particular solution yp once you determine the coefficients.
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