how to solve an ode with time dependent parameter using matlab ??????

i have got a set of coupled differential equations given below and would really appreciate any help that would provide solving them ....:)
dx/dt=g*y(t)*I(t)-a*x(t)
dy/dt=beta*w(t)-g*y(t)*I(t)
dw/dt=a*x(t)-beta*w(t)
where a,beta,g are constants and I(t) is like a current supplied at a time t .. x,y and z are time dependent values that need to be calculated ...

回答(1 个)

Create a function for I(t) and call the function inside differential equation defined function.
function data=I(t,alpha,beta)
.....
end
function val = dydt(t,y,alpha, beta, gamma)
val(1) = .....+ I(t, alpha, beta)
val(2) = -gamma*......
....
end
something like this.

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