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Full Description
Examines the visualization of differential equations with user-configurable tools. This text uses the computer algebra system, Mathematica, to provide an integrated environment for programming, visualizing graphics, and running commentary for learning and working with differential equations.
Contents
Seeing and controlling the initial values; style and accuracy control; labelling plots; exact solutions; direction fields; isoclines; inflection curves; controlling the numerical method; checking solutions; normal form; system solution plots; phase plots, controlling the style of the orbits; fields of fish; controlling to t-domain; varying a parameter; nullcline plots; the real orbit graph in 3-dimensions, systems of three of more equations; Poincare sections; a single second-order equations; second-order systems; troubleshooting.
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