A motion with uniform acceleration as the one discussed in in Sect.  7.2 is just a special case. In the general case the forces acting on the investigated body, or system of bodies, are some functions of both positions and velocities. Thus, because of Newton’s second law, we must deal with a system of second-order differential equations.

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Animation and Ordinary Differential Equations

  • Giovanni Moruzzi

摘要

A motion with uniform acceleration as the one discussed in in Sect.  7.2 is just a special case. In the general case the forces acting on the investigated body, or system of bodies, are some functions of both positions and velocities. Thus, because of Newton’s second law, we must deal with a system of second-order differential equations.