To solve two 2nd order coupled differential equation using ODE45?

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Rohit Singh
Rohit Singh on 26 Sep 2021
Commented: Rohit Singh on 29 Sep 2021
I have the the following 2nd order differential equation that is needed to be solved.
..............(1)
....................(2)
The initial state are [3 9] for and respectively.
The time interval is [0: 0.05: 1] i.e 21 time steps.
The and are functions of time available for initial 20 time steps (can take as ones for working example).
I don't have any prior experince with ODE45 . Any guidance to solve this problem will be appreciated.

Accepted Answer

Alan Stevens
Alan Stevens on 26 Sep 2021
Replace each 2nd order ODE by two 1st order ODEs. e.g. set V1 = X1', V2 = X2', then V1' = (50*sin(f(t) - V1)*V2')/sin(f(t)), V2' = g(t) - etc.
You will also need initial conditions for V1 (X1') and V2 (X2') as well as for X1 and X2.
help ODE45 % for further details.
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