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What is the Degree of the Following Differential Equation? 5 X ( D Y D X ) 2 − D 2 Y D X 2 − 6 Y = Log X - Mathematics

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प्रश्न

What is the degree of the following differential equation?

\[5x \left( \frac{dy}{dx} \right)^2 - \frac{d^2 y}{d x^2} - 6y = \log x\]
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उत्तर

\[5x \left( \frac{dy}{dx} \right)^2 - \frac{d^2 y}{d x^2} - 6y = \log x\]
Here, we see that  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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पाठ 22: Differential Equations - Very Short Answers [पृष्ठ १३८]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 22 Differential Equations
Very Short Answers | Q 17 | पृष्ठ १३८

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