Consider the coupled mass vibration problem consisting of springs having the same mass attached to each other and fixed outer walls by springs of spring constants 1 and 2   The displacements 1 and 2...

Consider the coupled mass vibration problem consisting of springs having the same mass attached to each other and fixed outer walls by springs of spring constants

₁
and

₂

The displacements

₁
and

₂
satisfy the system of second-order differential equations