The differential equation y+y2=(y5+x)y′ can be written in differential form: M(x, y)dx+N(x, y)dy=0 where M(x, y)= , and N(x, y)= . The term M(x, y)dx+N(x, y)dy becomes an exact differential if the left hand side above is divided by y2. Integrating that new equation, the solution of the differential equation is =C.