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Solve the following differential equatio...

Solve the following differential equation: `3e^xtany\ dx+(2-e^x)sec^2y\ dy=0,` given that when `x=0,\ y=pi/4dot`

A

`8(1+e^(x))^(3)tany=1`

B

`(1+e^(x))^(3)tany=8`

C

`(1+e^(x))^(3)tany=27`

D

`2(1+e^(x))=tan^(3)y`

Text Solution

Verified by Experts

The correct Answer is:
B
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