Question

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

• A. 1, 2
• B. 2, 3
• C. 3, 2
• D. 2, 3

Hint:

The order of a differential equation is the highest derivative present, and the degree is the power of the highest derivative.

Answer 1

The Correct Option is C

Step 1: Analyze the order and degree.
The order of a differential equation is the highest derivative, and the degree is the power of the highest derivative.
Step 2: Conclusion.
Thus, the order is 2 and the degree is 3.
Final Answer: \[ \boxed{3, 2} \]