Question:medium
The order of the differential equation \( \left(\frac{d^3y}{dx^3}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^5 = 0 \) is:
The order of the differential equation \( \left(\frac{d^3y}{dx^3}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^5 = 0 \) is:
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Always look for the "d" count in the notation. \( \frac{d^ny}{dx^n} \) tells you it's the \( n \)-th order. Don't be distracted by exponents like the 5 in \( (dy/dx)^5 \); they don't affect the order of the equation.
Updated On: May 1, 2026
- \( 3 \)
- \( 4 \)
- \( 1 \)
- \( 5 \)
- \( 6 \)
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The Correct Option is A
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