- Consider the initial value problem -t 12 e 18] + [6] y 10 -6 4 a. Form the complementary solution to the homogeneous equation. ýc(t) = C₁ ýp(t) = b. Construct a particular solution by assuming the form ýp (t) = e-tā and solving for the undetermined constant vector a. P = ÿ(0) = 21-1 = c. Form the general solution ÿ(t) = ÿc(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem. y₁ (t) H + C2 B

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