Consider the following in respect of the differential equation :

$${{{d^2}y} \over {d{x^2}}} + 2{\left( {{{dy} \over {dx}}} \right)^2} + 9x = x$$

1. The degree of the differential equation is 1.

2. The order of the differential equation is 2.

Which of the above statements is/are correct?

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

What is the degree of the differential equation
$(\frac{d^{2}y}{dx^{2}})^{\frac{3}{2}}=(\frac{dy}{dx})^{\frac{5}{2}}$

Consider the following statements:

I. $y=xe^{2x}$ is the solution of $\frac{dy}{dx}=y(2+\frac{1}{x})$

II. $y=x\ln |x|+cx$ is the solution of $\frac{dy}{dx}=\frac{x+y}{x}$

Which of the statements given above is/are correct?