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Let $$y = y(x)$$ be the solution of the differential equation $$(x^2 - x\sqrt{x^2 - 1})dy + (y(x - \sqrt{x^2 - 1}) - x)dx = 0$$, $$x \geq 1$$. If $$y(1) = 1$$, then the greatest integer less than $$y(\sqrt{5})$$ is _______.
Correct Answer: 3
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