Question

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

• A. $1$
• B. $2$
• C. $3$
• D. None of these

Answer 1

Answer: (D)

None of these

Since, $\frac{d^{2}y}{d{x}^2}$ is in also $\sin \left(\frac{d^{2}y}{d{x}^2}\right)$

Clearly, the given differential equation is not a polynomial indifferential coefficients. So, its degree is not defined.