Question

The degree of the differential equation

$\frac{d^{2}y}{dx^{2}} + 3\left( \frac{dy}{dx} \right)^{2} = x^{2}\log\left( \frac{d^{2}y}{dx^{2}} \right)$is

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

Answer 1

Answer: (D)

None of these

Answer 2

The above equation cannot be written as a polynomial in derivatives due to the term $x^{2}\log\left( \frac{d^{2}y}{dx^{2}} \right)$. Hence degree of the differential equation is ‘not defined’.