Differential Eq...

The solution of the differential equation $$(3xy+y^{2})dx+(x^{2}+xy)dy=0$$ is

The solution of the differential equation $$\dfrac{dy}{dx} = \dfrac{x^2 + y^2 + 1}{2xy}$$ satisfying $$y (1) = 1$$, is

The solution of the differential equation $$\left ({x}^{2}+1\right)\dfrac {dy}{dx}+{y}^{2}+1=0,$$ is  $$\left[ ify\left( 0 \right) =1 \right]$$

The solution of differential equation $$\dfrac{dy}{dx} =\dfrac{x(2\ln{x+1})}{\sin{y}+y\cos{y}}$$ is

The order of the differential equation satisfying $$\sqrt { 1-{ x }^{ 4 } } +\sqrt { 1-{ y }^{ 4 } } =a\left( { x }^{ 2 }-{ y }^{ 2 } \right) $$ is 

Solution of the differential equation $$ye^{x/y}dx=(xe^{\frac {x}{y}}+y^{2})dy(y \neq 0)$$ is ?

The D.E whose solution is $$y=a\cos(3x+b)$$ is?

The solution of the differential equation $$\dfrac{dy}{dx}+\dfrac{1}{x}\tan y=\dfrac{\tan y \sin y}{{x}^{2}}$$ is 

The equation of a curve passing through the point (0, 0) and whose differential equation is $${y'} = {e^x}\sin x$$ is 

$$(2y+xy^{3})dx+(x+x^{2}y^{2})dy=0$$ solution of differential equation is