The temperature of this batch reactor is

d²T / dt² = T² - aT + B

a : alpha

B : beta

Both a and B are constants

The intial temp of the reactor is 300K. The lab team wants to keep the temp within 300 (plus/minus) 50K for 30 minutes.

1) Convert the above ODE-IVP to an ODE system that can be solved. Explain how you are able to do this conversion. No need to solve.

2) What extra properties the lab team need to measure at the initial to be able solve this ODE-IVP