Second Order Coupled Differential Equations

Is it possible to write code to model this type of differential equation? :

x'' = f(y, y', y'')

y'' = g(x, x', x'')

Thanks!

[Stephon Henry-Rerrie]

Are there any methods in MATLAB that I can employ? Thanks!

[Steven Lord]

Yes, MATLAB has several different functions for solving ODEs. The video and documentation page I linked in my answer describe how to use some of them, and the page I linked in this comment includes another example and offers some guidance about which solver to use for particular types of problems.

Answer 1

[Steven Lord]

See this video and/or this documentation page for examples of how to solve systems of ODEs.

Answer 2

[Torsten]

Can you solve for x'' and y'' , i.e.

x''=function1(x,x',y,y') y''=function2(x,x',y,y')

?

If yes, you can use any ODE solver from the ODE-suite you like.

If not, try ODE15i.

Best wishes

Torsten.