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Ordinary Differential Equations

If nothing happens, download GitHub Desktop and try again.

Ordinary Differential Equation -- from Wolfram MathWorld

If nothing happens, download Xcode and try again. If nothing happens, download the GitHub extension for Visual Studio and try again.

Differential equation introduction - First order differential equations - Khan Academy

It holds the ordinary differential equation solvers and utilities. While completely independent and usable on its own, users interested in using this functionality should check out DifferentialEquations. The only requirement is that the user passes an OrdinaryDiffEq. For example, we can solve the ODE tutorial from the docs using the Tsit5 algorithm:.

Ordinary Differential Equations

That example uses the out-of-place syntax f u,p,t , while the inplace syntax more efficient for systems of equations is shown in the Lorenz example:. For example, in DiffEqTutorials. For the list of available solvers, please refer to the DifferentialEquations.

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Skip to content. Dismiss Join GitHub today GitHub is home to over 40 million developers working together to host and review code, manage projects, and build software together. Sign up. DiffEq solvers for ordinary differential equations. Julia Branch: master New pull request. Find File. Download ZIP. Sign in Sign up.

Launching GitHub Desktop Equations within the realm of this package include:. Solving differential equations with different methods from different languages and packages can be done by changing one line of code, allowing for easy benchmarking to ensure you are using the fastest method possible.

For bug reports, feature requests, etc. If you're interested in contributing, please see the Developer Documentation.

Differential Equations

The software in this ecosystem was developed as part of academic research. If you would like to help support it, please star the repository as such metrics may help us secure funding in the future. If you use JuliaDiffEq software as part of your research, teaching, or other activities, we would be grateful if you could cite our work. Please see our citation page for guidelines. This will add solvers and dependencies for all kinds of Differential Equations e. If you are interested in only one type of equation solvers of DifferentialEquations.


To understand the package in more detail, check out the following tutorials in this manual. It is highly recommended that new users start with the ODE tutorial. If you find any example where there seems to be an error, please open an issue. For the most up to date information on using the package, please join the Gitter channel. Using the bleeding edge for the latest features and development is only recommended for power users.