Differential Eq...

The solution of the differential equation $$\sec^{2} x \cdot \tan y \,dx + \sec^{2} y \cdot \tan x\ dy = 0$$ is 

The general solution of the differential equation $$xdy-ydx={y}^{2}dx$$ is

Solution of $$\cfrac { dx }{ dy } +mx=0$$, where $$m< 0$$ is:

The general solution of the differential equation $$\left( x+y \right) dx+xdy=0$$ is

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

The general solution of the differential equation $$\cfrac { dy }{ dx } +\sin { \cfrac { x+y }{ 2 }  } =\sin { \cfrac { x-y }{ 2 }  } $$ is

The solution of $$x \log x \displaystyle\frac{dy}{dx}+y=1$$ is?

Solution of the differential equation $$(x^{2} + y^{3}) (2x^{2}dx + 3ydy) = 12x\ dx + 18y^{2}dy$$ is

The solution of $$y' = e^{x - y} + x^{2} e^{-y}$$ is

If $$y=\sqrt{(a-x)(x-b)}-(a-b)\tan^{-1}\sqrt{\displaystyle\frac{a-x}{x-b}}(a > b)$$ then $$\displaystyle\frac{dy}{dx}=$$.