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Write the Degree of the Differential Equation X 3 ( D 2 Y D X 2 ) 2 + X ( D Y D X ) 4 = 0

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प्रश्न

Write the degree of the differential equation \[x^3 \left( \frac{d^2 y}{d x^2} \right)^2 + x \left( \frac{dy}{dx} \right)^4 = 0\]

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उत्तर

\[x^3 \left( \frac{d^2 y}{d x^2} \right)^2 + x \left( \frac{dy}{dx} \right)^4 = 0\]
Here, the highest order derivative is \[\frac{d^2 y}{d x^2}\] and its power is 2.
Therefore, degree of given differential equation is 2.

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अध्याय 21: Differential Equations - Very Short Answers [पृष्ठ १३८]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 21 Differential Equations
Very Short Answers | Q 21 | पृष्ठ १३८

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