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

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प्रश्न

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

 

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उत्तर

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

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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 19 | पृष्ठ १३८

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