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He Degree of the Differential Equation ( D 2 Y D X 2 ) 2 − ( D Y D X ) = Y 3 , is

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प्रश्न

The degree of the differential equation \[\left( \frac{d^2 y}{d x^2} \right)^2 - \left( \frac{dy}{dx} \right) = y^3\], is

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MCQ
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उत्तर

2

 

We have,
\[\left( \frac{d^2 y}{d x^2} \right)^2 - \left( \frac{dy}{dx} \right) = y^3\]
\[\text{ The highest order derivative is }\frac{d^2 y}{d^2 x}\text{ and its power is 2 . }\]
Hence, the degree is 2 .

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अध्याय 21: Differential Equations - MCQ [पृष्ठ १३९]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 21 Differential Equations
MCQ | Q 4 | पृष्ठ १३९

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