The order and degree of the differential equation [ 1 + ( d y d x ) 2 ] 2 = d 2ydx2 respectively, are:

Question

The order and degree of the differential equation ${[1 + {(\frac{d y}{d x})}^{2}]}^{2}$ $=$ $\frac{d^{2} y}{d x^{2}}$ respectively, are:

Smart Achievers · Accepted Answer

(3)

Ans. 2, 1

Explanation:

We have,

$[{(1 + \frac{d y}{d x})}^{2}] = \frac{d^{2} y}{d x^{2}}$

So, order = 2

and degree = 1

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