(1) Find the general solution for each of the following separable differential equations. dy (a) dx (2 2 + 3 ) ey ( b) Ly (3ace + 202 - 2 )y x ( y3 - 2y)(2) Find the solution for each of the following initial value problems. dy (a) - y (1) = 0 dx (b) (2y - 3y-) 1x dy = Inxtx, y(1) = 2.(3) Solve the following linear first order differential equations: ( a) + 23y = 23 dx (b) - ay - 4y = 232 dx(4) Solve the following initial value problems. (a) x = 2xy + 23, y(0) = - ( b) x dx ty - xe" = 0, x > 0, y(1) = e