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Solving ODE in MATLAB

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Solving ODE in MATLABP. HowardFall 2007Contents1 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.

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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