Choose the correct answer from the given four options.The order a…

MCQ

Choose the correct answer from the given four options.The order and degree of the differential equation $\Big[1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2\Big]=\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}$ are:

A
$2,\frac{3}{2}$
B
$2, 3$
✓
$2, 1$
D
$3, 4$

✓

Answer

Correct option: C.

$2, 1$

Given that, $\Big[1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2\Big]=\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}$
$\therefore$ Order$=2$ and degree$=1$

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