For each of the following differential equations, find the general solution of the associated ho- mogeneous equation. Please refer to the book chapter 4.3 Homogeneous Linear Equations with Constant Coefficients uploaded to Canvas if you need to refresh your notes on differential equa- tions. (a) d2y dt2 3 dy dt 2y pyD dyD dt q vptq (1) (b) d2y dt2 7dy dt 12y 4 (2) (c) d2y dt2 2y t (3) (d) d2y dt2 9y cos t (4) (e) d2y dt2 dy dt y 0 (5) (f) d2y dt2 2dy dt y et (6) (g) d3y dt3 3d2y dt2 3 dy dt y 0 (7) (h) d4y dt4 2d2y dt2 y 0 (8) 1 of 6