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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

In Heun's method the second slope is evaluated at the Euler-predicted point: k2=f(t0+h, y0+h f(t0,y0))k_2 = f(t_0 + h,\ y_0 + h\,f(t_0, y_0)). For y′=y+ty' = y + t, y(0)=1y(0) = 1, and h=0.2h = 0.2, find k2k_2. Express your answer as a decimal.