Math notes/Differential Equations/Numerical MethodsEuler’s Method and Local Slopes — Cheat sheetCHEAT SHEET · FREELessonCheat sheet →Unit cheat sheet →Save as PDF ↓Choose “Save as PDF” in the print dialog.On this pageCore ruleWatch forCore ruleyn+1=yn+hf(tn,yn).y_{n+1}=y_n+h f(t_n,y_n).yn+1=yn+hf(tn,yn). Watch forCompare methods at the same final time. A smoother-looking polyline does not prove accuracy. Step refinement, exact checks when available and stability analysis provide stronger evidence.← PREVIOUS LESSONNonlinear Systems and Local LinearizationNEXT LESSON →Midpoint, Heun and Runge–Kutta Methods