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Solving ODE in MATLAB

Solving ODE in MATLABP. HowardFall 2007 Contents1 Finding Explicit First Order Equations .. Second and Higher Order Equations .. Systems .. 32 Finding Numerical First-Order Equations with Inline Functions .. First Order Equations with M-files .. Systems of ODE .. Passing Parameters .. Second Order Equations .. 103 Laplace Transforms104 Boundary Value Problems115 Event Location126 Numerical Euler s Method .. Higher order Taylor Methods .. 187 Advanced ODE Stiff ODE.

1.1 First Order Equations Though MATLAB is primarily a numerics package, it can certainly solve straightforward differential equations symbolically.1 Suppose, for example, that we want to solve the first order differential equation

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