Applications of Second-Order Equations

  • Clay C. Ross
Part of the Undergraduate Texts in Mathematics book series (UTM)


Once again, second-order differential equations with constant coefficients serve as a special topic for our study. This time we study them not just because it is easy to explain everything that is going on, but because of the special interests one can have in the physical situation that these differential equations are modeling. We study several cases of the motion of a single weight hanging from a spring:
  • where the motion is free;

  • where the motion is damped;

  • when there is a forcing function present.


Phase Angle Harmonic Motion Rest Position Escape Velocity Spring System 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Clay C. Ross
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

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