PART I. Show that the following solutions are the solutions to the differential equations indicated sin x 1. sin y = cos x; y' = cosy 2. y=x+ex +ex; y" - y = -x 3. y = In(1-x); y = (1-x) ax 4. Arctan y = Arctan x; dy dx - 1+y2 1+x2 = 0