# Interesting system of ODE, application in physics?

#### atanas1234

Hi all,
I have a project to do for system of ordinal differential equations and their applications in physics.
One of my tasks is to find where in physics the following system of ordinal differential equations appear:

dA1(x)/dx=f(x).A2(x)
dA2(x)/dx=f(x).A1(x)+ h(x).A2(x)+ g(x).A3(x)
dA3(x)/dx= g(x).A2(x)

Could someone help me?
Thanks

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#### atanas1234

Also application of higher dimensional system could be useful

dA1(x)/dx=f(x).A4(x)
dA2(x)/dx= g(x).A4(x)
dA3(x)/dx= k(x).A4(x)
dA4(x)/dx=f(x).A1(x)+ g(x).A2(x)+ k(x).A3(x) +h(x).A4(x)

or application of lower dimensional system
dA1(x)/dx=-f(x).A1(x)+ g(x).A2(x)
dA2(x)/dx= g(x).A1(x)+ f(x).A2(x)

#### atanas1234

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"Interesting system of ODE, application in physics?"

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