Consider the initial value problem j' = (0) = -3 a. Form the complementary solution to the homogeneous equation. jct) = C1 + C2 b. Construct a particular solution by assuming the form p(t) = (sin t)ā...

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Extracted text: Consider the initial value problem j' = (0) = -3 a. Form the complementary solution to the homogeneous equation. jct) = C1 + C2 b. Construct a particular solution by assuming the form p(t) = (sin t)ā + (cost)b and solving for the undetermined constant vectors a and b. jp(t) = c. Form the general solution g(t) = ýc(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem. Y1(t) y2(t)