Question

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

• A. \( 4 \)
• B. \( 3 \)
• C. \( 1 \)
• D. \( 2 \)

Hint:

Degree of a differential equation is the exponent of the highest order derivative after clearing radicals and fractions.

Answer 1

The Correct Option is C

Step 1: Identify the highest derivative. \[ d^2y/dx^2 \] Step 2: Find the exponent of the highest order derivative after clearing radicals. Since the highest derivative appears with power 1, the degree is 1