Differential Eq...

The differential equation $$\dfrac{dy}{dx} = 2$$ represents

The solution of the differential equation  $$\left( 1+y^{ { 2 } } \right) +\left( x-e^{ { { \tan   }^{ -1 }y } } \right) \dfrac { dy }{ dx } =0,$$  is

The solution of $$\dfrac{dy}{dx}=\dfrac{x+x^{2}}{y-y^{2}}$$ is:

The solution of $$\dfrac{d^{2}y}{dx^{2}}=0$$ represents

The solution of $$\dfrac{dy}{dx}= \tan\  y$$ is

The differential equation $$y\dfrac{dy}{dx}+x=A$$ where A is a constant represents a set of:

The solution of $$\displaystyle \frac{dy}{dx}+y \tan x = 0$$ is:

The solution of $$\frac{dy}{dx}=e^{x-y}$$ is:

The differential equation of the family of circles whose center lies on $$x-$$axis and passing through origin is

The solution of $$\displaystyle \frac{dy}{dx}+\displaystyle \frac{\sqrt{1+y^{2}}}{\sqrt{1+x^{2}}}=0$$ is: