Differential Eq...

The solution of equation $$\dfrac{dy}{dx}=\dfrac{ax+b}{cy+d}$$ represents : 

The solution of the differential equation $$3xy'-3y+{ \left( { x }^{ 2 }-{ y }^{ 2 } \right)  }^{ 1/2 }=0$$, satisfying the condition $$y(1)=1$$ is

The solution of differential equation $$x \dfrac {dy}{dx} + y=y^2$$ is:

The solution of the differential equation $$\left( x+3{ y }^{ 2 } \right) \dfrac { dy }{ dx } =y,\ y>0$$ is

The solution of the differential equation $$y'=\cfrac { 1 }{ { e }^{ -y }-x } $$, is

the general solution of differential equation $$x^4 \, \frac{dy}{dx} \, + \, x^3 y \, + cosec \, xy \, =0$$,   is 

The differential equation $$\dfrac{dy}{dx} = e^x.e^y$$ has solution ____________

The particular solution of differential equation $$\cfrac { dy }{ dx } =-4x{ y }^{ 2 },y(0)=1$$ is ______

The order of the differential equation whose general solution is $$y \, = \, c, \, cos \, 2x \, + \, c_2 \, cos^2x \, + \, c_3 \, sin^2x \, + \, c_4$$

The solution of the differential equation $$2x \dfrac{dy}{dx} = y; y(1) = 2$$ represents $$=$$ ____.