Power_Broker:
Honestly, solving differential equations, taking Laplace Transforms, solving systems of equations, using matrix operations, and finding out how many apples Johnny has leftover is MOST useful in the processing world, not embedded systems.How many projects can you think of that require you to take the Laplace Transform of a four dimensional differential equation (in matrix form) to blink an LED?
Honestly that's why I interpreted the still unexplained in a simpler light.
One trick is to pre-solve a function into a multi-dimension (1 for each parameter) table and return the value at array[ a1 ][ a2 ][ a3 ] to solve for a1, a2, a3. You need space in flash but lookup is insanely fast, Charles Moore used it to point telescopes with computers in 1959. Simple is Good!
Anyway that's a way to package control apps (input temperature and pressure/output valve settings) to flight sims since back in the old days.
It's all been since my time but aren't there graphing calculators that you can feed algebra and maybe take a limit on in the last 20-25 years?