Two players are negotiating where to place some object on the Cartesian plane. They choose the coordinates (x, y) in the following way: Player A sets the coordinate on the x axis, Player B sets the coordinate on the y axis. Player A wants the object to be as close as possible to the point (0; 0); Player B wants the object to be as close as possible to the point (1, 1). Find the equilibrium in this game

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A:

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A: Two linearly independent solutions of the equation y''+y'-6y=0 are