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Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica's outstanding graphics capabilities.

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Differential equations --- Data proessing --- Mathematica (Computer file) --- Data processing --- 519.67 --- -Equations, Differential --- Bessel functions --- Calculus --- Machine, graphical and other methods of computational mathematics --- Data processing. --- -517.91 Differential equations --- 519.67 Machine, graphical and other methods of computational mathematics --- -Machine, graphical and other methods of computational mathematics --- Équations différentielles --- Enseignement assisté par ordinateur --- Mathematica (Computer program language) --- -519.67 Machine, graphical and other methods of computational mathematics --- 517.91 Differential equations --- 517.91 --- Numerical solutions --- Équations différentielles. --- Enseignement assisté par ordinateur. --- Data proessing. --- Numerical solutions&delete& --- Équations différentielles. --- Enseignement assisté par ordinateur.

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Information systems --- Differential equations --- Data processing. --- Maple (Computer file) --- Maple (Computer file). --- Maple (logiciel) --- Équations différentielles --- Solutions numériques --- Solutions numériques. --- Équations différentielles --- Solutions numériques.

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Differential equations --- Boundary value problems --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Boundary conditions (Differential equations) --- Functions of complex variables --- Mathematical physics --- Initial value problems --- 517.91 Differential equations

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Differential equations. --- 517.91 Differential equations --- Differential equations --- Asymptotic theory.