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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

Euler's method has global error roughly proportional to the step size hh. With h=0.1h = 0.1 a computed value of y(1)y(1) is off by 0.080.08. Estimate the error at t=1t = 1 when the step size is reduced to h=0.025h = 0.025. Express your answer as a decimal.