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Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

In one step of the classical fourth-order Runge–Kutta method with h=12h = \dfrac{1}{2} from y0=1y_0 = 1, the four stages come out to k1=3k_1 = 3, k2=4k_2 = 4, k3=4k_3 = 4, k4=5k_4 = 5. The RK4 update is y1=y0+h6(k1+2k2+2k3+k4)y_1 = y_0 + \dfrac{h}{6}\left(k_1 + 2k_2 + 2k_3 + k_4\right). Find y1y_1.