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A particle moves in the plane xy with ve...

A particle moves in the plane `xy` with velocity `v=ai+bxj`, where i and j are the unit vectors of the x and y axes, and a and b are constants. At the initial moment of time the particle was located at the point `x=y=0`. Find:
(a) the equation of the particle's trajectory `y(x)`,
(b) the curvature radius of trajectory as a function of x.

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