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Consider the initial value problem 0 2 1 a. Form the complementary solution to the homogeneous equation. c(t) = C1 et -e C2 -t e b. Construct a particular solution by assuming the form up(t) = de² bt cand solving for the undetermined constant vectors a, b, and c. Yp(t) = -2t 1 e 2-3 21 e t X c. Form the general solution (t) = c(t) ŷp(t) and impose the initial condition to obtain the solution of the initial value problem. -t 3/2(t) -t
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