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The solution of the differential equation `(xcoty + log cosx)dy +(logsiny-ytanx) dx=0` is

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The solution of the differential equation `(xcoty + log cosx)dy +(logsiny-ytanx) dx=0` is
A. `(sinx)^(y)(cosy)^(x)=c`
B. `(siny)^(x)(cosx)^(y)=c`
C. `(sinx)^(x)(cosy)^(y)=c`
D. None of these
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Correct Answer - B
`(xcoty+logcosx)dy+(log siny-ytanx)dx=0`
or `intd(xlogsiny)+intd(ylogcosx)=0`
or `xlogsiny+ylogcosx=logc`
or `(siny)^(x)(cosx)^(y)=c`
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