## A First Course in Differential Equations with Modeling ApplicationsThis Sixth Edition of the best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, places a greater emphasis on modeling and using technology in problem solving, and now features more applications. The last edition of this text became university professors' top choice for teaching differential equations, in part because the author piques students' interest with special features and in-text aids. Pre-publication reviewers of this edition again praise the author's accessible writing style and the text's organization which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications. |

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### Contents

Introduction to Differential Equations | 2 |

Review Exercises | 28 |

Modeling with FirstOrder | 60 |

Copyright | |

10 other sections not shown

### Common terms and phrases

Answers to odd-numbered approximate auxiliary equation boundary-value problem capacitor Cauchy-Euler equation convergence cosh damping defined deflection derivatives determine differential operator dyldx eigenvalues eigenvectors equation of motion equilibrium position Euler's formula Euler's method EXAMPLE EXERCISES Answers explicit solution exponential family of solutions first-order differential equations force formula gal/min Gauss-Jordan elimination given differential equation graph improved Euler initial-value problem integral interval Laplace transform last equation linear combination linear differential equation linear equation linearly independent linearly independent solutions mass mathematical model matrix multiple nonhomogeneous nonlinear obtain odd-numbered problems begin ODE solver partial fractions particular solution polynomial population power series regular singular point roots Runge-Kutta method second-order Section series circuit series solution shown in Figure sinh solution curve solve the given spring substitution superposition principle tank tion truncation error variable verify weight Wronskian zero