Differential Eq...

If $$y = \sqrt{\dfrac{1-x}{1+x}}$$ then find $$(1 - x^2) \dfrac{dy}{dx} + y$$ =

The solution of $$x \dfrac{dy}{dx} + y logy = xy e^x$$ is 

The real value of n for which substitution $$y = {u^n}$$ will transform differential equation $$2{x^4}y\frac{{dy}}{{dx}} + {y^4} = 4{x^6}$$ into homogeneous equation

The solution of the differential equation $$x\dfrac{dy}{dx}=y+x\tan \dfrac{y}{x}$$ is :

If $$y(x)$$ is the solution of the differential equation $$(x+2)\dfrac{dy}{dx}=x^{2}+4x-9, x \neq -2$$ and $$y(0)=0$$, then $$y(-4)$$ is equal to 

The solution of the differential equation $$ydx + (x+x^2y)dy = 0$$ is-

Soluation of D.E. $$\dfrac{{dy}}{{dx}} = \dfrac{{3x + 4y + 3}}{{12x + 16y - 4}}$$ is 

The general solution of the differential equation $$\dfrac { dy }{ dx } + y\cot { x } = \csc { x }$$, is

The solution of $$\cfrac { dy }{ dx } =\left( \cfrac { ax+b }{ cy+d }  \right)  $$ represents a parabola if:- 

The integrating factor of the differential equation $$\cfrac { dy }{ dx } -y\tan { x } =\cos { x } $$ is,