Question:
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $
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The order of a differential equation is always the highest derivative, regardless of its power or coefficients.
Updated On: Apr 11, 2025
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The Correct Option is A
Solution and Explanation
The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is \(\frac{d^3y}{dx^3}\), which indicates that the order of the equation is 3.
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