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<p>This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. </p>
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<p><strong>Contents <br></strong>Part I: Theory <br>Chapter 1 First-Order Differential Equations <br>Chapter 2 Linear Differential Systems <br>Chapter 3 Second-Order Differential Equations <br>Chapter 4 Nonlinear Differential Equations <br>Chapter 5 Stability of Solutions <br>Chapter 6 Differential Systems with Control Parameters </p>
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<p>Part II: Exercises <br>Seminar 1 Classes of First-Order Differential Equations <br>Seminar 2 Mathematical Modeling with Differential Equations <br>Seminar 3 Linear Differential Systems <br>Seminar 4 Second-Order Differential Equations <br>Seminar 5 Gronwall’s Inequality <br>Seminar 6 Method of Successive Approximations <br>Seminar 7 Stability of Solutions </p>
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<p>Part III:<strong> </strong>Maple Code<br>Lab 1 Introduction to Maple <br>Lab 2 Differential Equations with Maple <br>Lab 3 Linear Differential Systems <br>Lab 4 Second-Order Differential Equations <br>Lab 5 Nonlinear Differential Systems <br>Lab 6 Numerical Computation of Solutions <br>Lab 7 Writing Custom Maple Programs <br>Lab 8 Differential Systems with Control Parameters </p>