Differential Equations

Let the solution curve \(y = y(x)\) of the differential equation

\(\left[ {{x \over {\sqrt {{x^2} - {y^2}} }} + {e^{{y \over x}}}} \right]x{{dy} \over {dx}} = x + \left[ {{x \over {\sqrt {{x^2} - {y^2}} }} + {e^{{y \over x}}}} \right]y\)

pass through the points (1, 0) and (2\(\alpha\), \(\alpha\)), \(\alpha\) > 0. Then \(\alpha\) is equal to