Question

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

• A. $1$
• B. $2$
• C. $3$
• D. $noneofthese$

Answer 1

The correct option is D $noneofthese$

$\frac{d^{2}y}{d{x}^2}+3{\left(\frac{dy}{dx}\right)}^2=x\log \frac{d^{2}y}{d{x}^2}$
The given equation is not a polynomial equation in derivatives.So, the degree of this equation is not defined.