Dynamic System Parameter Estimation ODE(PDE) with measured data

[Yu Liu]

To estimate the parameter of the pde
dy=y+xdz
Where z has an analytical function z(t), x is measured data with no analytical function,then i can transform it to
dy=y+x*z(t)
The question is, what should I do with x to make it applicable with ode parameter estimation solver
Thanks a lot!