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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.

2 Finding Numerical Solutions MATLAB has a number of tools for numerically solving ordinary differential equations. We will focus on the main two, the built-in functions ode23 and ode45, which implement versions

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