Question

Find the degree of the differential equation $2{\left(\frac{d^{2}y}{d{x}^2}\right)}^2+\frac{d^{3}y}{d{x}^3}-\frac{dy}{dx}-si{n}^{2}y+sin\left(\frac{dy}{dx}\right)=0$

Answer 1

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

Highest order derivative is third derivative. So, order is 3

Since, the given equation is not a polynomial equation in the derivatives.
So, its degree is not defined.