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The solution of the differential equatio...

The solution of the differential equation `xdx+ysin^(2)xdy=ydy+xsin^(2)ydx` is (where, c is an arbitrary constant)

A

`x tan x=secy+c`

B

`x tany=secx+c`

C

`xtanx-ln |secx|=ytany -ln|secy|+c`

D

`xtanx=ln|secy|+c`

Text Solution

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The correct Answer is:
C
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