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Question: Answered & Verified by Expert
The order and degree of the differential equation $\frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}}$ are respectively
MathematicsDifferential EquationsMHT CETMHT CET 2021 (24 Sep Shift 1)
Options:
  • A 2,3
  • B 3,3
  • C 2,2
  • D 1,3
Solution:
1373 Upvotes Verified Answer
The correct answer is: 2,2
$\begin{aligned} & \frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}} \\ & \therefore \quad\left(\frac{d^2 y}{d x^2}\right)=\frac{d y}{d x} \\ & \therefore \text { order }=2 \text { and degree }=2\end{aligned}$

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