Find the equation of the curve passing through the point `(1,0)` if the slope of the tangent to the curve at any point `(x ,y)i s(y-1)/(x^2+x)dot`

Explanation

Given ,

`(dy)/(dx)=(y−1)/(x^2+x)`

`=>( dy)/(y−1)=(dx)/(x^2+x)`

Intergrating both

`=>int ((dy)/(y−1))=int ( (dx)/(x^2+x))`

`=> int ((dy)/(y−1))=int (1/x-1/(x+1))dx`

`=>log(y−1)=logx−log(x+1)+logC`

`=> log(y−1)=log((xC)/(x+1))`

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