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Solution of (sin x)(dy)/(dx) = y ln y ,...

Solution of `(sin x)(dy)/(dx) = y ln y` , given `y ((pi)/2) = e`

A

`y=e^(tan(x//2))`

B

`y=e^(-tan(x//4)`

C

`y=e^(cotx)`

D

`y=e^(tanx)`

Text Solution

Verified by Experts

The correct Answer is:
A
`because (dy)/(ylny)=(dx)/(sinx)implies ln|lny|=tanx//2|+lnc`
Put `x=(pi)/(2) implies y=2" "therefore y=e^(tan(x//2))`.
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