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The degree of the differential equation ...

The degree of the differential equation ` x = 1 +((dy)/(dx)) + 1/(2!) ((dy)/(dx))^(2) + 1/(3!) ((dy)/(dx))^(3)+…..`

A

3

B

2

C

1

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
C
` x =1 1+ (dy)/(dx) + 1/(2!) ((dy)/(dx))^(2) + 1/(3!) ((dy)/(dx))^(3)`
` Rightarrow x=e^((dy)/(dx))`
Taking log on the sides, we get
`(dy)/(dx) = log_(e) x`
Degree of differnentail equation is 1.
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