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# Ordinary Differential Equations

## Functions

### Nonstiff Solvers

### Stiff Solvers

### Fully Implicit Solvers

### Get/Set Options

## Topics

Ordinary differential equation initial value problem
solvers

The Ordinary Differential Equation (ODE) solvers in MATLAB^{®} solve
initial value problems with a variety of properties. The solvers can
work on stiff or nonstiff problems, problems with a mass matrix, differential
algebraic equations (DAEs), or fully implicit problems. For more information,
see Choose an ODE Solver.

ODE background information, solver descriptions, algorithms, and example summary.

Table indicating which options of `odeset`

work
with each ODE solver.

Detect events during solution of ODE.

This page contains two examples of solving nonstiff ordinary differential equations using `ode45`

.

This page contains two examples of solving stiff ordinary differential equations using `ode15s`

.

**Solve Differential Algebraic Equations (DAEs)**

Solve ODEs with a singular mass matrix.

This topic shows how to constrain the solution of an ODE to be nonnegative.

**Troubleshoot Common ODE Problems**

FAQ containing common problems and solutions.

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