Show that the substitution z = 1/yinto the differential equationdy/dx+y = xytransforms the differential equationdz/dx - 2z = -2xHence, find the solution of the differential

Show that the substitution z = 1/y²into the differential equationdy/dx+y = xy³transforms the differential equationdz/dx - 2z = -2xHence, find the solution of the differential equation satisfying the conditiony = ?2 when x = 0. Give your answer in the form y = f(x).