If $\frac{dy}{dx} = (\ln 5)y $  with y(0) = ln 5, then what is y(1) equal to?

What does the equation $x \frac{dy}{dx}-2y= 0$ represent ?

If the general solution of a differential equation is y² + 2cy - cx + c² = 0, where c is an arbitrary constant, then what is the order of the differential equation?

What is the degree of the following differential equation?

$\rm x=\sqrt{1+\frac{d^2y}{dx^2}}$