Biology
Logistic Population Growth
dN/dt = rN(1 − N/K)

Nearly exponential at first, growth self-limits as the population approaches its carrying capacity K, tracing the classic S-shaped curve — integrated live with the library's RK4 solver.
Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own
Gif encoder (no GPU, no ffmpeg, no external packages).