Mass Oscillating between Two Springs

A block is connected to two fixed walls by two springs. The equation of motion is
where is the mass of the block, is the displacement of the mass, is time, and and are spring stiffness coefficients independent of and .
  • Contributed by: Stephen Wilkerson
  • (United States Military Academy West Point, Department of Mathematics)


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This example comes from [1], section 4.1, "Modeling with First Order Equations".
[1] 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.


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