A system of PDE and ODE

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?

Yup. It may not be as easy to solve as NNODE, which specializes the boundary condition in a nice way, but an ODE is just a 1-dimensional PDE so yeah it’s fine.

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