$x^2\left(\frac{d^2y}{dx^2}\right)^2+\left(\frac{dy}{dx}\right)^4$ = 0 We know that the degree of a differential equation is the highest power (exponent) of the highest order derivative in it. The highest order derivative present in the given differential equation is $\frac{d^2y}{dx^2}$. Its power is 2. So, the degree of the given differential equation is 2.