Differential Eq...

Equation of the curve passing through the point (3, 9) and which satisfies $$y_{1}=x+\dfrac{1}{x^{2}}$$ is:

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

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

The solution of $$xdx+ydy=x^{2}ydy-xy^{2}dx$$ is

The solution of $$xcos^{2} y(dx) + tan y(dy)=0$$ is:

The solution of 

$$3e^{x}\cos^{2}y\ dx+(1-e^{x}) \cot y\ dy=0$$

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

The solution of $$log\left (\displaystyle \frac{dy}{dx} \right )=ax+by$$

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

The solution of $$\frac{dy}{dx}=e^{3x+y}$$ given $$y=0$$ when $$x=0$$ is: