Question

The degree of the diferential equation $\frac{d^{2}y}{d{x}^2}=\sin (x+\frac{dy}{dx})$ is

• A. $2$
• B. $3$
• C. $0$
• D. Not defined

Answer 1

The correct option is D Not defined

Differential equation is $\frac{d^{2}y}{d{x}^2}=\sin (x+\frac{dy}{dx})$

The degree of differential equation is represented by the power of the highest order derivative in the given differential equation.

The differential equation must be a polynomial equation in derivatives for the degree to be defined.

Since, the $\frac{dy}{dx}$ is in $\sin (x+\frac{dy}{dx})$

Hence, the degree is not defined.