Is PINN capable of solving a time dependent system consisting of a PDE and an ODE?

for example if there is a system like below:

eq = [A * Dt(u1(t,x)) ~ B * Dx(u(t,x)) - C* Dt(u2(t)),

Dt(u2(t)) ~ D * u2(t) * exp(E * u1(t,x))]

For this system would PINN couple solve it or should I put it in iterations and put the u1 and u2 from previous steps into the equation for every new steps?