(a) Show that every member of the family of functions y = Cex2/2 is a solution of the differential equation yt = xy.
(b) Illustrate part (a) by graphing several members of the family of solutions on a common screen.
(c) Find a solution of the differential equation yt = xy that satisfies the initial condition y (0) = 5.
(d) Find a solution of the differential equation y’ = xy that satisfies the initial condition y(1) = 2.