Question:
The differential equation whose solution is \( Ax^2 + Bx + C = 1 \) where A and B are arbitrary constants is of:
The differential equation whose solution is \( Ax^2 + Bx + C = 1 \) where A and B are arbitrary constants is of:
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For differential equations, the order is determined by the highest derivative, and the degree by the highest power of the highest derivative.
Updated On: Mar 25, 2026
- second order and second degree
- first order and second degree
- first order and first degree
- second order and first degree
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The Correct Option is D
Solution and Explanation
Step 1: Analyze the equation.
The equation is of the form \( Ax^2 + Bx + C \), which is a second-degree polynomial. Differentiating the equation results in a first-order differential equation. Hence, it is a second order and first degree differential equation.
Thus, the correct answer is (4).
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