Let \( y=y(x) \) be the solution curve of the differential equation, \( \left(y^{2}-x\right) \frac{d y}{d x}=1 \), satis…

Let \( y=y(x) \) be the solution curve of the differential equation, \( \left(y^{2}-x\right) \frac{d y}{d x}=1 \), satisfying \( y(0)=1 \). This curve intersects the \( \mathrm{x} \)-axis at a point whose abscissa is:

[JEE Main 2020, 7 Jan (Shift 2)]