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Write the Degree of the Differential Equation D 2 Y D X 2 + 3 ( D Y D X ) 2 = X 2 Log ( D 2 Y D X 2 )

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Question

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

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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 21: Differential Equations - Very Short Answers [Page 138]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Very Short Answers | Q 23 | Page 138

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