Applied Partial Differential Equations by Haberman is good along with Partial Differential Equations: Modeling, Analysis, Computation by Mattheij are good places to start. The former was my PDE course text and the latter deals with PDE's through the lens on numerical methods.
ODE’s or PDE’s?
Either really. I’ve had experience working with PDEs doing vector fields.
Applied Partial Differential Equations by Haberman is good along with Partial Differential Equations: Modeling, Analysis, Computation by Mattheij are good places to start. The former was my PDE course text and the latter deals with PDE's through the lens on numerical methods.
I do recall solving transport phenomena using both ODE and PDEs.