What Software To Use For Using Pole Placement To Determine PID Gains?

[Pipsqueakalchemist]

TL;DR Summary

I'm trying to develop a closed loop control system and trying to tune PID gains using pole placement and deciding which software is the best

Hello I'm trying to model a controls system. The issue I'm having is that the equation of motion and taking the Laplace transform and obtaining the transfer function is computationally difficult. I'm new to this so I don't know which software tools to use. I've heard about Matlab and python. I just need something that can help me do complex computation such as doing tedious algebra for complex equations of motion, Laplace transform, transfer function. Then be able to use for pole placement for tuning PID gains.

Thanks and regards