The solution of `y^2=2y(dy)/(dx)-((dy)/(dx))^(2),` is

(dy)/(dx) + (y)/(x) = x^(2)

The solution of (dy)/(dx)+(y)/(x)logy=(y)/(x^(2))(logy)^(2), is

The solution of (dy)/(dx)+(y)/(x)=(1)/((1+log x+log y)^(2)) is given by

The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

The solution of (dy)/(dx)=((x-1)^2+(y-2)^2tan^(- 1)((y-2)/(x-1)))/((x y-2x-y+2)tan^(- 1)((y-2)/(x-1))) is equal to

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

Number of straight lines which satisfy the differential equation (dy)/(dx)+x((dy)/(dx))^2-y=0 is

The solution of x^(2)dy-y^(2)dx+xy^(2)(x-y)dy=0, is

The order and degree of differential equation xy (d^2 y)/( dx^2) +((dy)/(dx))^2 -y ((dy)/(dx))^3 =0 is …….