Is there a non-iterative way to solve for the motion of an object under the influence of a time-dependent, position-dependent force? Here is an example problem: A bead on a straight wire is subjected to a net force. There is no friction between the bead and the wire. The bead and the wire do not experience any gravitational forces. The bead has a mass of 1kg. The net force acts along the wire, and is position and time dependent. It can be represented as F = 9x2 + 5xt - 10t2 The bead starts at rest at x = 0. Where is the bead after 30 seconds have elapsed? How would one go about solving a problem like this numerically?