# Ordinary Differential Equations

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.

## Fonctions

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 ode45 Solve nonstiff differential equations — medium order method ode23 Solve nonstiff differential equations — low order method ode78 Solve nonstiff differential equations — high order method ode89 Solve nonstiff differential equations — high order method ode113 Solve nonstiff differential equations — variable order method
 ode15s Solve stiff differential equations and DAEs — variable order method ode23s Solve stiff differential equations — low order method ode23t Solve moderately stiff ODEs and DAEs — trapezoidal rule ode23tb Solve stiff differential equations — trapezoidal rule + backward differentiation formula
 ode15i Solve fully implicit differential equations — variable order method decic Compute consistent initial conditions for ode15i
 odeget Extract ODE option values odeset Create or modify options structure for ODE and PDE solvers
 deval Evaluate differential equation solution structure odextend Extend solution to ODE