## Differential equations with MathematicaThe Third Edition of the Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with recent versions of Mathematica and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions.* Focuses on the most often used features of Mathematica for the beginning Mathematica user* CD-ROM contains all Mathematica inputs from the text* New applications from a variety of fields, including engineering, biology, and physics* All applications were completed using recent versions of Mathematica |

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#### LibraryThing Review

User Review - cmdpilot - LibraryThingI f you have Mathematica, it is an excellent book with many example equations and applications. Read full review

### Contents

FirstOrder Ordinary Differential Equations | 8 |

Applications of FirstOrder Ordinary Differential | 54 |

Higher Order Differential Equations | 90 |

Copyright | |

11 other sections not shown

### Common terms and phrases

applied begin by deﬁning Bessel function Cauchy-Euler equation coefﬁcients compute the inverse constant corresponding Cos[t curves deﬁned deﬁnition defme derivative direction ﬁeld displayed DSo1ve Dsolve eigenvalues eigenvectors Euler's method exact solution exponential expression extracted fimction ﬁnd ﬁrst ﬁrst-order forcing function formula Fourier given graph graphics array heat equation Hence homogeneous equation initial conditions initial position initial value problem integral interval inverse Laplace transform left-hand side linear linearly linearly independent list of ordered mass Mathematica matrix motion name the resulting nonhomogeneous nonlinear Note Notice obtained option ordinary differential equations orthogonal output list parameters particular solution phase plane plot the solution polynomial population power series previous example replacing represents respectively resulting list resulting output Runge-Kutta method satisﬁes series expansion Simplify sin(x speciﬁes spring steptwo substitution system of equations theequation Theorem tograph variables Wronskian yields zero