Solution of the differential y' = `(3yx^(2))/(x^(3)+2y^(4))` is

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

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

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

Solution of the differential equation x^(2)dy-2xydx=x^(3)y^(3)dx+x^(4)y^(2)dy is

Solution of the differential equation x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-y^(3))dx=0 is

If the solution of the differential equation (dy)/(dx)=(x^(3)+xy^(2))/(y^(3)-yx^(2)) is y^(k)-x^(k)=2x^(2)y^(2)+lambda (where, lambda is an arbitrary constant), then the value of k is

If the solution of the differential equation (dy)/(dx)=(x^(3)+xy^(2))/(y^(3)-yx^(2)) is y^(k)-x^(k)=2x^(2)y^(2)+lambda (where, lambda is an arbitrary constant), then the value of k is

solution of the differential equation (x^(2)sin^(3)y-y^(2)cos x)dx+(x^(3)cos y sin^(2)y-2y sin x)dy=0 is

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