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Solution of the differential equation dr...

Solution of the differential equation `dr+(2rcot theta+sin2theta)d theta=0` is

A

`rsin^(2) theta+(sin^(4) theta)/(4)=c`

B

`rsin^(2) theta-(sin^(4) theta)/(4)=c`

C

`rsin^(2) theta+(sin^(4) theta)/(2)=c`

D

`rsin^(2) theta-(sin^(4) theta)/(2)=c`

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The correct Answer is:
C
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