Question

The order and degree of the differential equation \( \frac{d^2y}{dx^2} + \left( \frac{dy}{dx} \right)^{\frac{3{2}} = y \) are respectively:}

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

Hint:

To find the degree, always ensure all derivatives are expressed as powers in a polynomial. If you see a square root or a fractional power on a derivative, you must rationalize the equation first.

Answer 1

Answer: (E)