This MATLAB function, where tspan = [t0 tf], integrates the system of differential equations y'=f(t,y) from t0 to tf with initial conditions y0.

Basic Solver Selection ode45 performs well with most ODE problems and should generally be your first choice of solver. However, ode23, ode78, ode89 and ode113 can be more efficient …

ode23 only works with functions that use two input arguments, t and y. However, you can pass in extra parameters by defining them outside the function and passing them in when you specify …

This topic shows how to specify options for solver functions (ode45, ode15s, and so on), and which differential equation solvers each option is compatible with. Options Syntax Use the …

This MATLAB function creates an options structure that you can pass as an argument to ODE and PDE solvers.

ode15s only works with functions that use two input arguments, t and y. However, you can pass in extra parameters by defining them outside the function and passing them in when you specify …

Choose an ODE Solver ODE background information, solver descriptions, algorithms, and example summary. Summary of ODE Options Usage of odeset and table indicating which …

Solve the system with ode45 by specifying the ODE function, the time span, and the initial conditions. Plot the resulting populations versus time.

ODE Event Location This topic describes how to detect events while solving an ODE using solver functions (ode45, ode15s, and so on). What is Event Location? Part of the difficulty in solving …

matlab.ode.options.ODE45 objects are used with ode objects to specify options for the solution of ordinary differential equations.