Solve system of linear ODEs with variable coefficients

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Ritwik Rakshit
Ritwik Rakshit 2018-11-19
评论： Ahmad Gad 2021-3-5
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?

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John D'Errico
John D'Errico 2018-11-19
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.
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Ahmad Gad
Ahmad Gad 2021-3-5
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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