The degree of the differential equation ( 1 + d y d x ) 3 = ( d 2 y d x 2 ) 2 is:

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Solution

Q.
The degree of the differential equation ${(1 + \frac{d y}{d x})}^{3} = {(\frac{d^{2} y}{d x^{2}})}^{2}$ is:

1 1

2 2

3 3

4 4

Ans.
(2)

Ans. 2

Explanation:

We have,

${(1 + \frac{d y}{d x})}^{3} = {(\frac{d^{2} y}{d x^{2}})}^{2}$

So, order = 2

and degree = 2.

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