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Solving ODE in MATLAB

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 .. 11. 3 Laplace Transforms 12. 4 Boundary Value Problems 12. 5 Event Location 13. 6 Numerical Methods 16. Euler's Method .. 16. Higher order Taylor Methods .. 20. 7 Advanced ODE Solvers 22. Stiff ODE .. 22. 1 Finding Explicit Solutions MATLAB has an extensive library of functions for Solving ordinary differential equations.

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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