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The equation of the curve which is such ...

The equation of the curve which is such that the portion of the axis of x cut-off between the origin and tangent at any point is proportional to the ordinate of that point is

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`Y-y=f'(x)(X-x)`
`-y=f'(x)(X-x)`
`X=x-y/(f'(x))=ky`
`x-ydx/dy=ky`
`x/y-k=dx/dy`
`dx/dy-x/y=-k`
`IF=e^(int-1/ydy)=y^(-1)`
`x/y=int-k/ydy`
...
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