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The degree of the differential equation ...

The degree of the differential equation `[1+((dy)/(dx))^(2)]^(3//2)=(d^(2)y)/(dx^(2))"is"`

A

4

B

`(3)/(2)`

C

not defined

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Given that `[1+((dy)/(dx))^(2)]^(3//2)=(d^(2)y)/(dx^(2))`
On squaring both sides, we get `[1+((dy)/(dx))^(2)]^(3//2)=((d^(2)y)/(dx^(2)))^(2)`
So, the degree of differential equation is 2.
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NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
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