Differential Eq...

The solution of $$\frac{dy}{dx}=e^{x-y}+e^{2logx-y}$$

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

The solution of

$$(x^{2}-yx^{2})\dfrac{dy}{dx}+(y^{2}+x^{2}y^{2})=0$$

Solution of  $$\tan y.\sec^{2}xdx + \tan x.\sec^{2} ydy=0$$ is:

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

If $$\dfrac{dy}{dx}=x^{2}+1$$ and $$y=12$$ when $$x=3$$. Then the function is:

If $$\dfrac{dy}{dx}=e^{x+y}$$ and at $$x=1;\> y=1$$, then for $$x=-1;\> y$$ ___.

The solution of $$\dfrac{dy}{dx}=e^{2x-y}+x^{3}e^{-y}$$ is:

Solution of $$(xy^{2}+x)dx+(yx^{2}+y)dy=0$$