Let y=y(x) be the solution curve of the

Question:

Let $y=y(x)$ be the solution curve of the

differential cquation, $\quad\left(\mathrm{y}^{2}-\mathrm{x}\right) \frac{\mathrm{dy}}{\mathrm{dx}}=1$,

satisfying $\mathrm{y}(0)=1$. This curve intersects the $x$-axis at a point whose abscissa is :

  1. $2+\mathrm{e}$

  2. 2

  3. $2-\mathrm{e}$

  4. $-\mathrm{e}$


Correct Option: , 3

Solution:

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