`x(dy)/(dx)-y+xsin((y)/(x))=0`

Explanation

`x(dy)/(dx)-y+xsin.(y)/(x)=0`
`implies (dy)/(dx)-(y)/(x)+sin.(y)/(x)=0`
माना `y=vximplies(dy)/(dx)=v+x(dv)/(dx)`
`impliesv+x(dv)/(dx)-v+sinv=0`
`implies x(dv)/(dx)+sinv=0`
`impliesint"cosec v dv"+int(dx)/(x)=logc`
`implies log(cosec v-cotv)+logx=logc`
`implies x(cosecv-cotv)=c`
`implies x(1-cosv)=csinv`
`implies x(1-cos.(y)/(x))=csin.(y)/(x)`