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    Chapter 26. Differential Equations

    26. Differential Equations

    Introduction 829

    26.1 Symbolic Solutions 830

    26.1.1 First-Order Equations 830 DSolve

    26.1.2 Second- and Higher-Order Equations 835

    26.1.3 Simultaneous Equations 836

    26.2 More about Symbolic Solutions 841

    26.2.1 Using the Laplace Transform 841 LaplaceTransform

    26.2.2 Series Solutions 843 RSolve

    26.2.3 Solution as a Pure Function 846 DSolve

    26.2.4 Integral and Integro-Differential Equations 847

    26.3 Numerical Solutions 849

    26.3.1 One Equation 849 NDSolve

    26.3.2 Two Equations 852

    26.3.3 Three and More Equations 860

    26.4 More about Numerical Solutions 865

    26.4.1 Options 865

    26.4.2 The Classical Runge-Kutta Method 871 rungeKuttaSolve

    26.4.3 Boundary Value Problems 874 linearBVP

    26.4.4 Events 876

    26.4.5 Estimation of Differential Equations 878

    26.4.6 Manipulator and Equation Trekker 881


      

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