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A particle moves in the xy plane with a velocity (depending on position) v =a i +bx j , where a and b are constants.

A particle moves in the xy plane with a velocity (depending on position) v =a i +bx j , where a and b are constants. At the initial instant the particle is at the origin (x(0) = y(0) = 0). Find the equation of the path y(x).

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