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Question: How to solve Non-autonomous ODE system with formal solution

Question:How to solve Non-autonomous ODE system with formal solution

lehinig 10 Maple
ode dsolve differential-equations
March 18 2021
2

Hello,

How i use maple to get the formal solution of this non autonomous system :

dsys := {diff(x(t), t) = (a*p*S/h + (-o - u))*x(t) + f(t)*p*S*y(t)/h, diff(y(t), t) = a*(1 - p)*S*x(t)/h + (f(t)*(1 - p)*S/h - b)*y(t)}

I tried dsolve(dsys) but maple consider the set of solution with x(t) y(t) and f(t), but f(t) is a parameter of the system. I search a solution for x(t) and y(t).

Thank you
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