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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

A

3

B

1

C

not defined

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`x=e^((dy)/(dx))rArrlogx=(dy)/(dx)`
Clearly, it is differential of degree one.
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  • The degree of differential equation (d^(2)y)/(dx^(2))+y=x sin(dy)/(dx) is

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