The solution of the differential equation  xdydx+y=x3y6 is

Given differential equation is xdydx+y=x3y6⇒xdy+ydx=x3y6dx⇒xdy+ydx=x6y6x3dx⇒dxyxy6=dxx3integrate on both sides ⇒−15(xy)−5=−x−22+C1⇒y−5x−5=52x−2−5C1⇒y−5x−5=52x−2+c