2. . 1 that the approximation to (e) obtained by the Runge-Kutta method with only 12 evaluations of (f) is better than the approximation obtained by the. . 1 that the approximation to (e) obtained by the Runge-Kutta method with only 12 evaluations of (f) is better than the approximation obtained by the. . - GitHub - j-broimproved-eulers-method A short script for obtaining answers to ODEs using Euler&39;s method. . Search Midpoint Method Calculator Differential Equation. e.