Differential Eq...

Solution of $$y-x\displaystyle \frac{dy}{dx}=3[1-x^{2}\frac{dy}{dx}]$$ is:

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

General solution of $$\displaystyle \frac{dy}{dx}=\frac{1}{\log_{x}e}$$ is given as $$y = $$

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

Solution of $$xe^{x^{2}+y}.dx=y.dy$$ is:

The solution of $$\cos \mathrm{x}\cos \mathrm{y}\mathrm{d}\mathrm{x}+ \sin \mathrm{x} \sin \mathrm{y} d\mathrm{y} =0$$ is 

Solution of $$\displaystyle \frac{dy}{dx}=4+4x-3y-3xy$$ is:

The solution of $$\displaystyle \frac{dy}{dx}=xy+x+y+1$$

The solution of $$\sin^{-1}ydx+\displaystyle \dfrac{x}{\sqrt{1-y^{2}}}dy=0$$ is:

lf the primitive of $$\displaystyle \frac{1}{f(x)}$$ is equal to $$\log\{f(x)\}^{2}+c$$, then $$f(x)$$ is: