symbolic ODE with time dependent parameters

Hello,

I have ODE that i got from symbolic calculation:

At the begining i have symbolic matrix and vector (M and f), I multiply them and get a single symbolic vector.

SymbolicFunction =(M^-1)*f;

And "f" is build in the following way:

for i=1:n
    temp=sym(0);
    for j=1:n
        temp=temp+CalcAij(i,j,n)*Omega(j)*Omega(j)*sin(Phi(i)-Phi(j));
    end
    temp=-temp-CalcBi(i,n)*(1/l)*(ydd*cos(Phi(i))-xdd*sin(Phi(i)));
    f(i+n,1)=temp;
end

for samplicity we can even say that "f" is:

f=[xdd*cos(Phi(i)) ; ydd*sin(Phi(i))]

Next I use "odeFunction" function i convert it to function handle (Vars is pre-defined):

odefun = odeFunction(SymbolicFunction,Vars);

Two of the symbolic vector paramaters (xdd and ydd) is known and time-dependent. lets say: xdd=ydd=cos(t).

How can I enter time-dependent in this case?

Most of the time we can write the ODE functions and enter the paramter there.

(Like here: https://www.mathworks.com/help/matlab/ref/ode45.html#bu3l43b)

But in my case I must work in symbolic way due to some other considerations.

I tried to create function xdd:

function R = xdd(t)
    R=cos(t);
end

and to build f in the following way, but I got errors.

f=[@xdd*cos(Phi(i)) ; @ydd*sin(Phi(i))];

How can I enter time-dependent parameters when i build my ODE function from symbolic expressions using matlab function so i cant edit the function itself?

Thanks for every help,

Amit Prigozin