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
- 2,3
- 3,3
- 2,2
- 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)
Practice more Differential Equations questions on Aicharya