Question

Order of differential equation \( \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 3y = 0 \) is:

• A. 3
• B. 2
• C. 1
• D. 0

Hint:

Don't confuse order with degree. The degree is the power of the highest order derivative. In this case, the order is 2 and the degree is 1.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The order of a differential equation is the order of the highest derivative present in the equation.
Step 2: Detailed Explanation:
Observe the derivatives in the equation:
1. The term \( \frac{d^2y}{dx^2} \) is the second-order derivative (second derivative of \( y \) with respect to \( x \)).
2. The term \( \frac{dy}{dx} \) is the first-order derivative.
3. The term \( 3y \) has no derivative (zero-order).
Since the highest derivative order present is 2, the order of the differential equation is 2.
Step 3: Final Answer:
The order is 2.