Question

The order and degree of the differential equation \( \sqrt{\frac{dy}{dx}} - 4 \frac{dy}{dx} - 7x = 0 \) are respectively

• A. \( 1 \, \text{and} \, \frac{1}{2} \)
• B. \( 2 \, \text{and} \, 1 \)
• C. \( -1 \, \text{and} \, 1 \)
• D. \( 1 \, \text{and} \, 2 \)

Hint:

To determine the degree of a differential equation, remove square roots or fractional powers. The order is identified by the highest derivative in the equation.