ode45()

ODE Solvers

ode45() is a MATLAB®-compatible ode solvers function for solve ordinary differential equation using adaptive runge-kutta 4/5 (dormand-prince). the function f defines dy/dt, tspan is [start, end], and y0 is the initial condition vector. returns {t, y} arrays. Run it online in your browser with SimLab — free, no install, no license required.

▶ Try ode45() in SimLab — Free

Syntax

ode45(f, tspan, y0)

ode45(f, [t0, tf], y0)

Examples — run ode45() in your browser

ode45(@(t, y) -2*y(1), [0, 5], [1])

▶ Run

sol = ode45(@(t, y) [y(2); -9.81], [0, 2], [0, 10]); plot(sol.t, sol.y)

▶ Run

More ODE Solvers Functions

Browse other free, MATLAB®-compatible ode solvers functions in SimLab:

ode23()ode15s()ode23s()

Browse all 510+ SimLab functions →

Frequently Asked Questions about ode45()

Is the ode45() function free to use in SimLab?

Yes. SimLab is 100% free — no signup, no license, and no usage limits. You can run ode45() and 510+ other MATLAB®-compatible functions directly in your browser at simulations4all.com/simlab.

Do I need to install MATLAB to use ode45()?

No. SimLab runs entirely in your web browser with zero installation. The ode45() function works without any MATLAB® license or software download.

What does ode45() do?

Solve ordinary differential equation using adaptive Runge-Kutta 4/5 (Dormand-Prince). The function f defines dy/dt, tspan is [start, end], and y0 is the initial condition vector. Returns {t, y} arrays. It is a MATLAB®-compatible ode solvers function available in SimLab with the same calling syntax as MATLAB® — typically: ode45(f, tspan, y0).

Can I run ode45() in my browser?

Yes. Open SimLab at simulations4all.com/simlab, write or paste code that calls ode45(), and run it. Execution happens locally in your browser — no data leaves your machine.

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