Energy balance in a jacketed batch reactor: system of ordinary differential equations using ode45

I was trying to solve this problem but I couldn't. It's about a jacket batch reactor with multiple reactions. I have the following system, with Ca(t), Cb(t), Cc(t), Tr(t) and Tj(t).

"Tu" and "u" are parameters that vary on an interval.

Tr(t) and Tj(t) must vary on another interval.

And "k1" and "k2" are expressions that depend on Tr.

t is time and I need to integrate from 0 to 30.

My objective is to maximise Cb. I was trying to solve the system using ode45, but I had problems regarding the code . I don't have the initial conditions of all parameters (only, Ca, Cb and Cc). Can I solve using ode23? I think I should integrate from 0 to 30, but I need to guess some value for Tr and Tj?

Thank you.