The solution of the equation `dy/dx=x^3y^2+xy` is (A) `x^2y-2y+1=cye^(-x^2/2)` (B) `xy^2+2x-y=ce^(-y/2)` (C) `x^2y-2y+x=cxe^(-y/2)` (D) none of these

The solution of the differential equation (dy)/(dx)=(3x^(2)y^(4)+2xy)/(x^(2)-2x^(3)y^(3)) is

The solution x^2( dy )/( dx) = x^2 + xy + y^2 is :

The solution to the differential equation (dy)/(dx)=((x+y+1)^(2))/(xy-y+2x-2) is

The solution of the differential equation (dy/dx)^2-(xdy)/dx+y=0 is (A) y=2 (B) y=2x (C) y=2x-4 (D) y=2x^2-4

If f(x) is differentiable, then the solution of dy+f\'(x)(y-f(x))dx=0 is (A) yf(x)=Ce^(-f(f(x))^2) (B) y+1=f(x)+Ce^(-f(x)) (C) f(x)=Cye^(-y^2/2) (D) none of these

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

Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^(2)y^(2) is