Question

The sum of the order and the degree of the differential equation \(\left[\frac{d^2y}{dx^2}\right]^2 + \left[\frac{dy}{dx}\right]^4 + 3\left(\frac{dy}{dx}\right) + 1 - y^2 = 0\) is:

• A. 2
• B. 3
• C. not defined
• D. 4

Hint:

The degree is determined by the power of the highest-order derivative component, not the largest exponent in the entire equation. In this problem, the exponent $4$ on \(\left[\frac{dy}{dx}\right]^4\) is ignored because it is on a lower-order derivative term.

Answer 1

The Correct Option is D