Differential EquationsChallengeNumerical Methods: Euler to Runge–Kutta
Numerical Methods: Euler to Runge–Kutta · Challenge problem
An adaptive RK4 code models the local error of a step of size as . A trial step with has estimated local error . The code accepts a step only if its local error is at most (error per unit step at most ). Using the model, what is the largest step size it can accept? Express your answer as a decimal.