The order and degree of the differential equation $\frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}}$ are…

The order and degree of the differential equation $\frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}}$ are respectively
  1. 2,3
  2. 3,3
  3. 2,2
  4. 1,3

Solution

$\begin{aligned} & \frac{d^2 y}{d x^2}=\sqrt{\frac{d y}{d x}} \\ & \therefore \quad\left(\frac{d^2 y}{d x^2}\right)=\frac{d y}{d x} \\ & \therefore \text { order }=2 \text { and degree }=2\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 1)

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