I cover the SciPy library in the next video in the Introduction to Numerical Python for Engineers series: https://youtube.com/playlist?list=PLQO9vKCRROdZkciP8FwS9SaQ1hlgy_wYt. I use a nonlinearly damped mass-spring oscillator to demonstrate solving dynamical systems, recreate the Moody diagram to demonstrate solving implicit equation, and then use both of these to solve the Blasius boundary layer equation.
Notebooks are available here: https://github.com/weymouth/NumericalPython
0:00 Introduction
1:04 Solving ODEs using integrate_ivp
4:35 Spring-mass example using state vectors
8:24 User exercises for integrate_ivp
9:40 Solving implicit equations using fsolve
11:14 Pipe friction example using nested function closure
13:51 Moody diagram using decorators
16:00 User exercises for fsolve
16:30 Boundary layer example combining solve_ivp with fsolve
