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If y=xsiny , prove that (dy)/(dx)=y/(x(1...

If `y=xsiny` , prove that `(dy)/(dx)=y/(x(1-xcosy))`

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Given that,
`y=xsiny`
`=>(dy)/(dx)=xcosy (dy)/(dx)+siny`
`=>(dy)/(dx)=siny/(1-xcosy)`
`=>(dy)/(dx)=(xsiny)/(x(1-xcosy))`
`=>(dy)/(dx)=y/(x(1-xcosy)`
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