Mass Oscillating between Two Springs
A block is connected to two fixed walls by two springs. The equation of motion is[more]
where is the mass of the block, is the displacement of the mass, is time, and and are spring stiffness coefficients independent of and .[less]
This example comes from , section 4.1, "Modeling with First Order Equations".
 J. R. Brannan and W. E. Boyce, Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications, New York: John Wiley and Sons, 2010.