Differential Equations in MATLAB (Technical Note)

A detailed technical note on how to solve differential equations with MATLAB.

== Topics covered in the technical note ==

Differential Problems in MATLAB
   1. What Equations Can MATLAB Handle?
   2. Where Can I Find Tutorials or Additional Information?

Frequently Asked Questions
   3. What Changes in Syntax Exist for ODE Solvers?
   4. How Do I Reduce the Order of an ODE?
   5. How Do I Solve Time-Dependent ODEs?
   6. How Do I Use a Fixed Time Step?
   7. How Do I Use Stochastic Differential Equations?

Examples
   8. Systems of Equations
   9. Boundary Value Problem (BVP): Channel Flow

Stiffness
  10. What Is Stiffness?
  11. Implicit vs. Explicit Methods
  12. Examples

Options
  13. How Can I Change Options When Solving a Differential Equation?
  14. What Option Parameters Can Be Modified?
  15. How Can Options Be Used as Functions?

Differential-Algebraic Equations and their Index
  16. How Can Differential Algebraic Equations Systems Be Solved in MATLAB?