Book and chapters we use: Chapters 2 through 5 Differential Equations with Boundary Value Problems, 2^nd Edition, Polking, Pearson Modern Classic, 2018.

a) Find the general solution (complementary and particular solutions) to the equation below: y" - 4y' -12y = 2t3 - t + 3. Use the Method of Undetermined Coefficients. b) Suppose y1(t)=et cos(t) and y2(t)=et sin(t) are solutions to the differential equation: y" +p(t)y' + q(t)y =0. Show that these two solutions are linearly independent