Solve the differential equation by variation of parameters. y" + 3y + 2y = 2+ e* Step 1 We are given a nonhomogeneous second-order differential equation. Similar to the method of solving by undetermined coefficients, we first find the complementary function y for the associated homogeneous equation. This time, the particular solution y, is based determinants and the general solution is y Yc+ Yp² First, we must find the roots of the auxiliary equation for y" + 3y + 2y = 0. m² +3m +20 Solving for m, the roots of the auxiliary equation are as follows. smaller value larger value m₂ = Wronskian.

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