Question

The degree of the differential equation $\bigg(\frac{d^2y}{dx^2}\bigg)^3+\bigg(\frac{dy}{dx}\bigg)^2+\sin\bigg(\frac{dy}{dx}\bigg)+1=0$ is

• A. 3
• B. 2
• C. 1
• D. Not Defined

Answer 1

Answer: (D)

Not Defined

Answer 2

$\bigg(\frac{d^2y}{dx^2}\bigg)^3+\bigg(\frac{dy}{dx}\bigg)^2+\sin\bigg(\frac{dy}{dx}\bigg)+1=0$

The given differential equation is not a polynomial equation in its derivatives.
Therefore, its degree is not defined.

Hence, the correct answer is D (Not Defined).