Consider the initial value problem -12 ' = D(0) = -9 a. Form the complementary solution to the homogeneous equation. jct) = C1 + c2 b. Construct a particular solution by assuming the form p(t) = e-tā...

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Extracted text: Consider the initial value problem -12 ' = D(0) = -9 a. Form the complementary solution to the homogeneous equation. jct) = C1 + c2 b. Construct a particular solution by assuming the form p(t) = e-tā and solving for the undetermined constant vector ā. p(t) = c. Form the general solution j(t) = jc(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem. Yı(t) Y2(t)