In "Bats Feast," Cecilion unleashes Blood Demon power, increasing his Movement Speed and gaining immunity to slow effects. Meanwhile, he shoots 40 bolts of blood energy at the nearby enemies. The path with which the bolts of blood energy travels along the two spatial dimensions of the battlefield, x and y, is represented by the differential equation (xy + x) dx = (x²y² + x² + y? + 1) dy. Find the implicit function y = f(x) representing the motion of the bolts of blood energy that Cecilion releases during the casting of this skill.

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