Solve system of linear ODEs with variable coefficients

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I'm trying to solve a system of three linear differential equations with one important caveat: one of the terms assumes one of three values depending on the state of the other variables.
G(t) switches values between and depending on, for instance, whether (X-Y) is positive or negative. Can I obtain numerical solutions to this sytem in MATLAB, without having to go through Simulink?

Accepted Answer

John D'Errico
John D'Errico on 19 Nov 2018
Why not? Yes, you can. Use tools like ode45, etc. Read the documentation for ode45, and you will find examples of use. Depending on the parameters in your equations, a stiff solver may be necessary, such as ode15s or ode23s.
  2 Comments
Ahmad Gad
Ahmad Gad on 5 Mar 2021
What if I am looking for symbolic solution? Can MATLAB manage this anyway instead of me solving them with my hands? Thanks!

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