Ordinary Differential Equations Solve boundary-value problems involving ordinary differential equations
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Ordinary Differential Equations Description

Ordinary Differential Equations solves boundary-value or initial-value problems involving nonlinear or linear ordinary differential equations of any order, or systems of such. The conditions may also be linear or nonlinear equations involving the unknown functions and their derivatives. The solution produced is a continuous function in the form of finite power or trigonometric series, depending on the program, of user-specified number of terms valid in the entire defined interval and expanded about a user-chosen center of expansion. Results, including the graph, can be saved or printed. You can also copy the graph to the clipboard, which you can then paste where you please (Word, Paint, etc.). You have one-click control of the graph with zooming, panning, centering, etc. The solution may be stored in a file which may be later read by a suitable program (like POWER AND TRIGONOMETRIC SERIES) to further study it to find roots, maxima and minima, derivatives, integral, graph. You can predefine any recurring constants. Handles a wide variety of functions, including trigonometric and hyperbolic. Results can be saved or printed. Includes a help file with instructions, examples and methodology. The programs of the Ordinary Differential Equations Collection are: PLODE - Solves Boundary Value Problems involving Linear Ordinary Differential Equations and produces a finite power series. TLODE - Solves Boundary Value Problems involving Linear Ordinary Differential Equations and produces a finite trig series. PNODE - Solves Boundary Value Problems involving Nonlinear Ordinary Differential Equations and produces a finite power series. TNODE - Solves Boundary Value Problems involving Nonlinear Ordinary Differential Equations and produces a finite trig series. SLODE - Solves Boundary Value Problems involving Systems of Linear Ordinary Differential Equations and produces a finite power series. SNODE - Solves Boundary Value Problems involving Systems of Nonlinear Ordinary Differential Equations and produces a finite power series.

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