## Differential Equations, Matlab Technology Resource Manual: A Modeling PerspectiveThis effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs. |

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### Contents

Introduction to the Tutorials | 1 |

Graphs of Functions | 2 |

Plotting Several Curves | 4 |

Copyright | |

22 other sections not shown

### Common terms and phrases

apply Matlab's ODE approximate solutions forwards axes axis labels axis ranges column in yvec command subplot component curves Curves Reference define the right-hand differential equations Dirac Delta functions Euler's Method Example ezplot to plot Figure window first-order ODEs Fourier series Fourier Trigonometric Series function y=Step(t,tlim Further Exploration graphical Harvey Mudd College Heun's Method hold Hooke's Law initial conditions y(0 initial positions initial value problem inline function integral curve Laplace transform LC circuit lines of code Lissajous curves Matlab requires Matlab's ODE solver meshgrid meters/sec2 ODE solver ode45 ode45 to compute orbits and component parameter plot orbits Plot solution curves plot the function plot the resulting plot the second plot the solution plot(t,y plotting partial sums re-write right-hand side rvec second column second-order ODE sets of initial slope field vectors solution curves corresponding spring-mass system Square Wave step function syms t=zeros(n+l tutorials vector and yvec versus ylabel ysol

### References to this book

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT ... Bard Ermentrout No preview available - 2002 |

Mathematica Navigator: Mathematics, Statistics, and Graphics, Volume 1 Heikki Ruskeepää No preview available - 2004 |