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The Degree of the Differential Equation ( D 2 Y D X 2 ) 3 + ( D Y D X ) 2 + Sin ( D Y D X ) + 1 = 0 , is

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प्रश्न

The degree of the differential equation \[\left( \frac{d^2 y}{d x^2} \right)^3 + \left( \frac{dy}{dx} \right)^2 + \sin\left( \frac{dy}{dx} \right) + 1 = 0\], is

विकल्प

  • 3

  • 2

  • 1

  • not defined

MCQ
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उत्तर

not defined

 

We have,

\[\left( \frac{d^2 y}{d x^2} \right)^3 + \left( \frac{dy}{dx} \right)^2 + \sin\left( \frac{dy}{dx} \right) + 1 = 0\]

\[\text{ The highest order derivative in this equation is }\frac{d^2 y}{d^2 x}.\]

But the equation cannot be expressed as a polynomial in differential coefficient.

Hence, the degree is not defined .

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अध्याय 21: Differential Equations - MCQ [पृष्ठ १४३]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 21 Differential Equations
MCQ | Q 41 | पृष्ठ १४३

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