Question

Write the degree of the differential equation x ${\left(\frac{d^{2}y}{d{x}^2}\right)}^3+y{\left(\frac{dy}{dx}\right)}^4+x^3=0$.

Answer 1

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

The highest order derivative is $\frac{d^{2}y}{d{x}^2}$ and its power is 3.

Therefore, the degree of given differential equation is 3.