Question

Write degree of the differential equation $\frac{d^{2}y}{d{x}^2}+x{\left(\frac{dy}{dx}\right)}^2=2x^2\log \left(\frac{d^{2}y}{d{x}^2}\right)$.

Answer 1

We have,

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

In this equation, $\log$ function is there.

So, we can not find the degree.