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Write the Order and Degree of the Differential Equation D 2 Y D X 2 + ( D Y D X ) 1 4 + X 1 5 = 0 - Mathematics

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प्रश्न

Write the order and degree of the differential equation
\[\frac{d^2 y}{d x^2} + \left( \frac{dy}{dx} \right)^\frac{1}{4} + x^\frac{1}{5} = 0\]

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योग
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उत्तर

The order is 2 as the highest derivative is 2.

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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अध्याय 22: Differential Equations - Very Short Answers [पृष्ठ १३९]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 22 Differential Equations
Very Short Answers | Q 25 | पृष्ठ १३९

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