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

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Question

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

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Solution

The given differential equation is not a polynomial equation in derivatives.
Hence, the degree for this differential equation is not defined.

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Chapter 22: Differential Equations - Very Short Answers [Page 139]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 22 Differential Equations
Very Short Answers | Q 24 | Page 139

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