Question:
Find the order of the differential equation \( \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 3y = 0 \):
Find the order of the differential equation \( \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 3y = 0 \):
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The order of a differential equation is the highest power of the derivative of the unknown function.
Updated On: Feb 2, 2026
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the order of a differential equation.
The order of a differential equation is determined by the highest derivative of the unknown function in the equation. Step 2: Identifying the highest derivative.
In the given differential equation: \[ \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 3y = 0 \] The highest derivative is \( \frac{d^2y}{dx^2} \), which is the second derivative of \( y \). Step 3: Conclusion.
Therefore, the order of the differential equation is 2, corresponding to option (B).
The order of a differential equation is determined by the highest derivative of the unknown function in the equation. Step 2: Identifying the highest derivative.
In the given differential equation: \[ \frac{d^2y}{dx^2} - 2\frac{dy}{dx} + 3y = 0 \] The highest derivative is \( \frac{d^2y}{dx^2} \), which is the second derivative of \( y \). Step 3: Conclusion.
Therefore, the order of the differential equation is 2, corresponding to option (B).
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