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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

Take one step of Euler's method with step size h=0.1h = 0.1 on y′=y2y' = y^2, y(0)=1y(0) = 1. What is the resulting estimate of y(0.1)y(0.1)? Express your answer as a common fraction.