Three masses are connected by a series of springsbetween two fixed points as shown in the accompanyingfigure. Assume that the springs all havethe same spring constant, and let x1(t), x2(t), andx3(t) represent the displacements of the respectivemasses at time t.Derive a system of second-order differential equations that describes the motion of this system.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.