As an illustration of the difficulties that may arise in using the method of undetermined coefficients, consider 2 i' = 2 2 a. Form the complementary solution to the homogeneous equation. ýc t) = C1 +...

Extracted text: As an illustration of the difficulties that may arise in using the method of undetermined coefficients, consider 2 i' = 2 2 a. Form the complementary solution to the homogeneous equation. ýc t) = C1 + c2 b. Show that seeking a particular solution of the form yp(t) = eta, where ā = is a constant vector, does not work. In fact, if yp had this form, we would arrive at the following contradiction: a2 = and az = •a1- a1 c. Show that seeking a particular solution of the form ýp(t) = teta, where a = is a constant vector, does not work either. In fact, if ip had this form, we would arrive at the following contradiction: az = -a1 and a1 = and a2