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Write the Order of the Differential Equation 1 + ( D Y D X ) 2 = 7 ( D 2 Y D X 2 ) 3 - Mathematics

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प्रश्न

Write the order of the differential equation
\[1 + \left( \frac{dy}{dx} \right)^2 = 7 \left( \frac{d^2 y}{d x^2} \right)^3\]

उत्तर

\[1 + \left( \frac{dy}{dx} \right)^2 = 7 \left( \frac{d^2 y}{d x^2} \right)^3 \]
The order of a differential equation is the order of its highest order derivatives . 
Here, the required order is 2 .

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पाठ 22: Differential Equations - Very Short Answers [पृष्ठ १३८]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 22 Differential Equations
Very Short Answers | Q 8 | पृष्ठ १३८

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Order and degree of the differential equation `[1+(dy/dx)^3]^(7/3)=7(d^2y)/(dx^2)` are respectively 

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(D) 3, 7


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