Please answer EACH question on a SEPARATE form, using the f ont face and if necessary the back face of that form. 1- Verify that each of the given functions y(t) is a solution of the given c fferential equation on the given interval I. Note that all of the functions depend on an arbitrary constant ce R 8p i) y' 3y +12, y(t) ce-4 (-oo, oo) [8p] ii) y' = ys_ y, y(t) = 1/(1-ce) c 0 ise-Inc, oo) @p] iii) y'=y®, y(t)-(c-t)-1 (-oo , c) 2-1 [12p] a) Find the solutions of the differential equation y, 2 y2 -4 13p] b) Find the general solution of the given differential equation. y cos (t2) (a ) [13p] i)Determine if the equation is exact, and if it is exact, find the neral solution, t2-y-ty [12pl ii)Solve the following IVP and find the interval of validity of the solut n. y'-e-y(X-2), y (3) = 0 4 25) Solve the differential equationSolve the differential equation (3x + y*) t (x2 + xy)y' = 0 CAUTION: Indicate the part you are answering in your solution s eet, in the order a)..., e)!