17 - Implicit Euler Method

Euler's method ✏️ for approximating DE solutions 😵‍💫😵‍💫 #apcalculus #apcalc #unit7 We look at Euler's method from Topic 7.5 of AP Calc BC, which approximates solutions to differential equations. The accuracy of Euler's method decreases with each step taken away from the starting point because each subsequent approximation relies on the previous one, so the error compounds with each additional step. This iterative process inherently involves basing one approximation on another, resulting in l

Euler's Method with Step Size 0.1: y'=y+xy, y(0)=1