Solving Matrix differential equations

I'm looking to solve a system of the type dxdt=A*x where dxdt and x are 1xn vectors and A is an nxn matrix. I know I can use something like ode45 to solve each row individually, but figured matlab must have a way of solving such systems. Thanks in advance!

Answer 1

[Fangjun Jiang]

dxdt and x should be n by 1 vectors.

Yes. ode45 or other ode solver can solve the system at once. run odeexamples.m to see various example.

You might consider use ss() if A is time-invariant matrix.

[Nikolaos]

where can we find odeexamples.m ? was that helpfull? I am having the same problem..

thank you in advance

Answer 2

[Abe]

Go down to "Solve Differential Equations in Matrix Form" http://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html?refresh=true