Differential Equation!! Please help!

Show that the substitution v = xy transforms the differential equation

x(d^2y/dx^2)+ 2(1+2x)dy/dx + 4(1+x)y = 32e^(2x) x not equal to 0

into the differential equation
d^2v/dx^2 + 4 dv/dx +4v = 32 e^2x