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Solving ODE in MATLAB

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Solving ODE in MATLAB . P. Howard Fall 2009. Contents 1 Finding Explicit Solutions 1. First Order Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. Second and Higher Order Equations . . . . . . . . . . . . . . . . . . . . . . . 3. Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. 2 Finding Numerical Solutions 5. First-Order Equations with Anonymous Functions . . . . . . . . . . . . . . . 5. First Order Equations with M-files . . . . . . . . . . . . . . . . . . . . . . . 8. Systems of ODE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9. Passing Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10. Second Order Equations.

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

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