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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

For y′=yy' = y, y(0)=1y(0) = 1, the exact value is y(0.2)=e0.2y(0.2) = e^{0.2}. One Euler step with h=0.2h = 0.2 produces an estimate y1y_1. Find the local error e0.2−y1e^{0.2} - y_1, rounded to four decimal places.