ODESystem not handeling dynamic parameters

Specific Domains Modelling & Simulations
1

Hello,

I have a toy problem where I have a parameter that depends on time

using ModelingToolkit, DifferentialEquations
using ModelingToolkit: t_nounits as t, D_nounits as D

function test(;name)
    vars = @variables begin
        x(t)
    end
    para = @parameters begin
        α(t)
    end
    eqs = [
        D(x) ~ α
    ]
    ODESystem(eqs,t,vars,para,name=name)
end
@named model = test()
sys = structural_simplify(model)
para = [sys.α => cos(t)]
u0 = [sys.x => 1]
tspan = (0,2π)
prob = ODEProblem(sys,u0,tspan,para)
sol = solve(prob)

The solution I get after solving does not consider the parameter to be dynamic.
Here it will fix α = cos(0) = 1 for the entire time span.