Differential Eq...

Solution of $$(x+y-1)dx+(2x+2y-3)dy=0$$ is 

Solution of the differential equation $$dr=a\left( r\sin\theta d\theta-\cos\theta dr \right )$$ is 

The solution of $$\dfrac{xdy}{x^{2}+y^{2}}=\left(\dfrac{y}{x^{2}+y^{2}}-1\right)dx$$ is 

Solution of the differential equation $$\cos{\,}x {\,}dy=y(\sin{\,}x-y)dx,0<x<\dfrac{\pi}{2}$$ is

The solution of the differential equation $$ydx-xdy+3x^2y^2e^{x^3} dx=0$$ is

Solution of the equation $$(x+y)^2\dfrac{dy}{dx}=4,y(0)=0$$ is

The solution of the differential equation $$\log\left(\dfrac {dy}{dx}\right)=4x-2y-2,y=1$$ when $$x=1$$ is

Solution of the differential equation $$\dfrac{dy}{dx}=\dfrac{y(1+x)}{x(y-1)}$$ is

the solution of $$ydx-xdy+3{ x }^{ 2 }{ y }^{ 2 }{ e }^{ { x }^{ 3 } }dx=0$$ is

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