Consider the initial value problem a. Form the complementary solution to the homogeneous equation. ýc(t) = = C1 ÿp(t) -3 ÿ' = - - [~ ³ - 3] + + [4 sin(¹)], (0) [] 4 b. Construct a particular solution by assuming the form ÿp(t) = (sin t)ā + (cost)b and solving for the undetermined constant vectors a and b. = + C₂ y₁ (t) Y2(t) c. Form the general solution y(t) = c(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem.

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