Question

The degree of the differential equation ${\left(\frac{d^{2}y}{d{x}^2}\right)}^3+{\left(\frac{dy}{dx}\right)}^2+\sin \left(\frac{dy}{dx}\right)+1=0$
A. $3$
B. $2$
C. $1$
D. Not defined

Answer 1

Degree
Given differential equation is
${\left(\frac{d^{2}y}{d{x}^2}\right)}^3+{\left(\frac{dy}{dx}\right)}^2+\sin \left(\frac{dy}{dx}\right)+1=0$
Since $y^{\prime }$ is in Sin$\left(y^{\prime }\right)$. It is not a polynomial equation in derivatived. Therefore, Degree is Not defined.
Final answer:
Hence, the option D is correct option.