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Define Degree of a Differential Equation.

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Question

Define degree of a differential equation.

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Solution

Degree of differential equation:

The degree of a differential equation is the power of the highest order derivative occurring in a differential equation when it is written as a polynomial in differential coefficients.
example: \[\left( \frac{d^2 y}{d x^2} \right)^2 - 4\left( \frac{dy}{dx} \right) = 2y\]
the degree of the given differential equation is 2

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Chapter 21: Differential Equations - Very Short Answers [Page 137]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Very Short Answers | Q 3 | Page 137

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