Question:
What is the order of the differential equation given below?
\[
\frac{d^2y}{dx^2} - 6x = 3x^4 - 2x^3 + 2
\]
What is the order of the differential equation given below?
\[ \frac{d^2y}{dx^2} - 6x = 3x^4 - 2x^3 + 2 \]
\[ \frac{d^2y}{dx^2} - 6x = 3x^4 - 2x^3 + 2 \]
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The order of a differential equation is determined by the highest derivative of the unknown function present in the equation.
Updated On: Nov 27, 2025
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The Correct Option is B
Solution and Explanation
The order of a differential equation is determined by the highest derivative of the unknown function. In this case, the given equation is:
\[
\frac{d^2y}{dx^2} - 6x = 3x^4 - 2x^3 + 2
\]
The highest derivative in this equation is \(\frac{d^2y}{dx^2}\), which is the second derivative of \(y\). Therefore, the order of the differential equation is 2.
Thus, the correct answer is (B).
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