Question

Determine order and degree (if defined) of differential equation$\Big(\frac{d^2y}{dx^2}\Big)\\\^2+\cos\Big(\frac{dy}{dx}\Big)=0$

Answer 1

$\Big(\frac{d^2y}{dx^2}\Big)\\\^2+\cos\Big(\frac{dy}{dx}\Big)=0$
The highest order derivative present in the given differential equation is $\frac{d^2y}{dx^2}$ .
Therefore, its order is 2.
The given differential equation is not a polynomial equation in its derivatives.

Hence, its degree is not defined.