Question

$x^2{\left(\frac{d^{2}y}{d{x}^2}\right)}^3+y{\left(\frac{dy}{dx}\right)}^4+y^4=0$

Answer 1

$x^2{\left(\frac{d^{2}y}{d{x}^2}\right)}^3+y{\left(\frac{dy}{dx}\right)}^4+y^4=0$

In this differential equation, the order of the highest order derivative is 2 and its power is 3. So, it is a differential equation of order 2 and degree 3.

It is a non-linear differential equation, as its degree is more than 1.