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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

Euler's method is applied to the system x′=yx' = y, y′=−xy' = -x with x(0)=1x(0) = 1, y(0)=0y(0) = 0 and step h=0.1h = 0.1. After one step the point is (x1,y1)(x_1, y_1). Find x12+y12x_1^2 + y_1^2. Express your answer as a common fraction.