# Find order and degree ( if defined ) of following differential equation : $\bigg( \large\frac{d^2y}{dx^2} \bigg)^2$$+\cos \bigg( \large\frac{dy}{dx} \bigg)=0 ## 1 Answer Toolbox: • The highest order derivative present in the differential equation represents the order of the equation • If the differential equation is not a polynomial equation in its derivatives and so its degree is not defined. The given equation is \bigg( \large\frac{d^2y}{dx^2} \bigg)^2$$+\cos \bigg( \large\frac{dy}{dx} \bigg)=0$
The highest order for the given differential equation is 2
But the degree is not defined,because the given differential equation is not a polynomial equation in its derivatives.