3-060-S-DataToDifferentialEquation

By Eric Sullivan1, Kelly Cline

1. Mathematics, Carroll College, Helena MT USA

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Modeling Scenarios

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Abstract

Students use their knowledge of second-order linear differential equations in

conjunction with physical intuition of spring-mass systems to estimate the damping

coefficient and spring constant from data. The data is presented as {%5Cit total

distance traveled} instead of displacement so the students must rely on previous

calculus knowledge as well as knowledge of differential equations and numerical

differentiation.

Cite this work

Researchers should cite this work as follows:

  • Eric Sullivan; Kelly Cline (2015), "3-060-S-DataToDifferentialEquation," https://simiode.org/resources/1387.

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Tags

  1. data fitting
  2. differential equations
  3. linear
  4. mass
  5. numerical differentiation
  6. parameter estimation
  7. second order
  8. spring
  9. total distance