Differential Eq...

The solution of $$ \displaystyle \frac{dy}{dx}=(1+y^{2})(1+x^{2})^{-1}$$ is

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

The solution of $$y\dfrac{dy}{dx}=1+y^{2}$$ is:

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

The solution of $$x^{2}dy-y^{2}dx=0$$ is:

The solution of $$\displaystyle \dfrac{dy}{dx}=2y\tanh x $$ is

The solution of $$\dfrac{dy}{dx}=\dfrac{1+y}{1-x}$$ is:

The solution of $$\dfrac{dy}{dx}+\dfrac{x^{2}}{y^{2}}=0$$ is:

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

The solution of $$\dfrac{dy}{dx}+y=1$$ is: