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Solution of the differential equation (2...

Solution of the differential equation `(2sin((y)/(x))+2xtan((y)/(x))-ycos((y)/(x))-ysec^(2)((y)/(x)))dx+(xcos((y)/(x))+xsec^(2)((y)/(x)))dy=0`

A

`x^(2)(sin((y)/(x))-tan((y)/(x)))=c`

B

`-x^(2)(sin((y)/(x))+tan((y)/(x)))=c`

C

`x^(2)(sin((y)/(x))+tan((y)/(x)))=c`

D

`-x^(2)(sin((y)/(x))-tan((y)/(x)))=c`

Text Solution

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The correct Answer is:
C
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