There are 21 tutorial notebooks to give you a quick introduction to various features of DynPac. The Mathematica code in the package is fully documented. This package contains routines for integrating and plotting solutions of systems of nonlinear ordinary differential equations. Why does a mass on a spring sometimes misbehave?, AmericanĬasey, J., Geometrical derivation of Lagrange’s equations for a system of particles, American Journal of Physics, 62(9) 836–847 (1994).A Dynamical Systems Package Running Under Mathematica Solution to Duffing Equation and the PendulumĮquation, Applied Mathematical Sciences, Vol. Predicting the Future – An Intro to Models Described by Timeĭependent Differential Equations by Christian J Howard. Pokorny, Stability condition for vertical oscillation of 3-dim heavy spring elastic pendulum, Lisa Shields with an introduction by Peter Lynch is available on the web: Its translation from the Russian in English by (Gabriel Simonovich), Oscillations of an Elastic Pendulum as an Example of the Oscillations of Two To analyze the problem of falling meterstick of length ℓ with attached heavy weight at a distance L from the pivot, we use the tourque equation: Introduction to Linear Algebra with Mathematica Glossary Return to Part III of the course APMA0340 Return to the main page for the second course APMA0340 Return to the main page for the first course APMA0330 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the second course APMA0340 Return to computing page for the first course APMA0330 Laplace equation in spherical coordinates.Numerical solutions of Laplace equation.Laplace equation in infinite semi-stripe.Boundary Value Problems for heat equation.Part VI: Partial Differential Equations.Part III: Non-linear Systems of Ordinary Differential Equations.Part II: Linear Systems of Ordinary Differential Equations.
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