Differential Eq...

If $$\dfrac{dy}{dx}=x^{-3}$$ then $$y$$

The number of arbitrary constants in the particular solution of the differential equation of order $$3$$ is ______.

The number of arbitrary constant in the general solution of differential equation of order $$3$$ is _________.

What is the general solution of the differential equation $$x\, dy - y\, dx \,y^2$$ ?

The solution of the differential equation $$x^4\dfrac{dy}{dx}+x^3y+cosec(xy)=0$$ is equal to 

The differential equation $$y\cfrac { dy }{ dx } +x=a$$ where '$$a$$' is any constant represents:

The differential equation of $$y=c{ x }^{ 3 },c$$ is a arbitrary constant is _______

The solution of $$\dfrac{ydx-xdy}{y^{2}}=0$$ represents a family of

The $$D.E$$ $$y\dfrac { dy }{ dx } +x=a$$ represents

The solution of $$\left( { x }^{ 2 }{ y }^{ 3 }+{ x }^{ 2 } \right) dx+\left( { y }^{ 2 }{ x }^{ 3 }+{ y }^{ 2 } \right) dy=0$$ is