Question

The degree of the equation $e^x\frac{d^{2}y}{d{x}^2}+\sin \left(\frac{dy}{dx}\right)=3$ is

• A. 2
• B. 0
• C. not defined
• D. 1

Answer 1

Answer: (C)

The given differential equation is
$e^x\frac{d^{2}y}{d{x}^2}+\sin \left(\frac{dy}{dx}\right)=3$
Since, this differential equation is not a polynomial in terms of its derivatives.
$\therefore$ Its degree is not defined.