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Write the Degree of the Differential Equation ( D Y D X ) 4 + 3 X D 2 Y D X 2 = 0 - Mathematics

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Question

Write the degree of the differential equation \[\left( \frac{dy}{dx} \right)^4 + 3x\frac{d^2 y}{d x^2} = 0\]

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Solution

\[\left( \frac{dy}{dx} \right)^4 + 3x\frac{d^2 y}{d x^2} = 0\]
The highest order derivative is \[\frac{d^2 y}{d x^2}\] and its power is 1.
Therefore, the given differential equation is of first degree.

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Chapter 22: Differential Equations - Very Short Answers [Page 138]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 22 Differential Equations
Very Short Answers | Q 18 | Page 138

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