Differential Eq...

Verify that $$y=Cx^3$$ is a solution of the differential equation $$xy'-3y=0$$ for any value of C. Then

find the particular solution determined by the initial condition $$y=2$$ when $$x=-3$$.

The solution for the differential equation $$\cfrac { dy }{ y } +\cfrac { dx }{ x } =0$$ is:

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

The solution of the differential equation $$y\sin\left(\dfrac{x}{y}\right)dx=\left(x \sin\left(\dfrac{x}{y} \right)-y \right) dy$$ satisfying $$y(\dfrac{\pi}{4})=1$$ is

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

The solution of $$\dfrac {d^{2}x}{dy^{2}} - x = k$$, where $$k$$ is a non-zero constant, vanishes when $$y = 0$$ and tends of finite limit as $$y$$ tends to infinity, is

What is the general solution of the differential equation $${ e }^{ x }\tan { y } dx+\left( 1-{ e }^{ x } \right) \sec ^{ 2 }{ y } dy=0$$?

What is the general solution of the differential equation $${x}^{2}dy+{y}^{2}dx=0$$?

What is the solution of $$\frac{dy}{dx}=2y-1$$ is :

What is B equal to ?