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If y=log(m cos ^(-1)x) is a solution of ...

If `y=log(m cos ^(-1)x)` is a solution of the differential equation
`(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)= ke^(-2y)`, then k =

A

`m^(2)`

B

`2m^(2)`

C

`-m^(2)`

D

`-2m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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