Differential Eq...

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

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

I.F. of $$\dfrac { dy }{ dx } =\dfrac { x+y+1 }{ x+1 } $$ is:

Equation of the curve whose polar sub tangent $$r^{2}\displaystyle \frac{d\theta}{dr}$$ is constant

$$\dfrac{dy}{dx}=e^{-2y},x=5\Rightarrow y=0,$$ then  $$y=3,find\ the\ value\ of\ 2x$$.

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

I.F. of $$\frac{dy}{dx}$$ $$+$$ $$y tan x $$$$=x^{2}cos^{2}x$$ is:

I.F of $$x\displaystyle \frac{dy}{dx}=(2y+2x^{4}+x^{2})$$ is:

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

The solution of $$\displaystyle \frac{dy}{dx}=xy+2x-3y-6$$ is: