Question

Find the order of the differential equation:

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

Answer 1

Given the differential equation is

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

From the given equation it is clear that the given differential equation is not a polynomial equation in derivatives. Hence, the degree for this equation is not defined.

So, the order is also not defined.