Understanding Differential Equations Using Mathematica and Interactive Demonstrations

@inproceedings{Mokhasi2012UnderstandingDE,
  title={Understanding Differential Equations Using Mathematica and Interactive Demonstrations},
  author={P. Mokhasi and J. Adduci and D. Kapadia},
  year={2012}
}
The solution of differential equations using the software package Mathematica is discussed in this paper. We focus on two functions, DSolve and NDSolve, and give various examples of how one can obtain symbolic or numerical results using these functions. An overview of the Wolfram Demon- strations Project is given, along with various novel user-contributed examples in the field of differential equations. The use of these Demonstrations in a classroom setting is elaborated upon to emphasize their… Expand
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References

SHOWING 1-10 OF 28 REFERENCES
Nonlinear Dynamics and Chaos
Nonlinear dynamics deals with more-or-less regular fluctuations in system variables caused by feedback intrinsic to the system (as opposed to external forces). Chaos is the most exotic form ofExpand
State population growth. The Wolfram Demonstrations Project. URL http://demonstrations.wolfram.com/StatePopulationGrowth
  • State population growth. The Wolfram Demonstrations Project. URL http://demonstrations.wolfram.com/StatePopulationGrowth
Mathematica material for differential equations
  • Austin Community College,
  • 2009
Mathematica material for differential equations Austin Community College
  • Mathematica material for differential equations Austin Community College
  • 2009
Exploring differential equations with Mathematica
  • Proceedings of the ICTCM
  • 2007
DiPrima. Elementary Differential Equations and Boundary Value Problems
  • 1997
Elementary Differential Equations and Boundary Value Problems
  • Elementary Differential Equations and Boundary Value Problems
  • 1997
Pacific Grove, CA: Brooks-Cole
  • Pacific Grove, CA: Brooks-Cole
  • 1995
Advanced numerical differential equation solving in Mathematica
  • Advanced numerical differential equation solving in Mathematica
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