Given differential equation is 5x $\left(\frac{dy}{dx}\right)^2 - \frac{d^2y}{dx^2}$ - 6y = log x In the above equation the highest order derivate is $\frac{d^2y}{dx^2}$ and its power is 1. Thus, the degree of differential equation 5x $\left(\frac{dy}{dx}\right)^2 - \frac{d^2y}{dx^2}$ - 6y = log x is 1