משוואות מסדר ראשון

function logistic(t, y0 = 10, rate = 0.4, capacity = 100) {
  const ratio = capacity / y0 - 1;
  return capacity / (1 + ratio * Math.exp(-rate * t));
}

const samples = Array.from({ length: 101 }, (_, i) => {
  const t = i / 10;
  return { t, y: logistic(t) };
});

console.table(samples.filter((_, index) => index % 25 === 0));

import numpy as np

def logistic(t, y0=10, rate=0.4, capacity=100):
    ratio = capacity / y0 - 1
    return capacity / (1 + ratio * np.exp(-rate * t))

t = np.linspace(0, 10, 101)
y = logistic(t)
print(np.column_stack((t[::25], y[::25])))