At any particular time, the rate of change at which the vertical position of an object moving in space varies with respect to its horizontal position is governed by the exact first order ordinary differential equation (y cos xy +) dx + (x cos xy + 2y) dy = 0. Derive the implicit relationship y = f(x) between the two spatial coordinates if at any particular time, the position of the object is defined by the ordered pair (x = 1; y = 0).

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