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    zaasmiZ
    @zaasmi said in In fourth order Runge-Kutta method K 4: In fourth order Runge-Kutta method K 4 is given by Answer k4 = hf(xn th,yn + kz) k4 = hf(xn + 2h, + 2kz) None of the given choices k4 = hf(x, — h,Yn — kz) In the fourth-order Runge-Kutta method, k_4 ,  is given by the formula: k_4 = h \cdot f\left(x_n + h, y_n + k_3\right)  However, from the options you’ve provided, it seems that none of them correctly represent the standard formulation for k_4 . To clarify based on standard notation: •  k_4 depends on the function evaluated at the next step after adding the entire step size h to x_n and the third slope k_3 to y_n . If the options don’t include the correct form for k_4 , then the answer would be None of the given choices.
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    zaasmiZ
    @zaasmi said in In fourth order Runge-Kutta method k2: In fourth order Runge-Kutta method k2 is given by Answer ^2-“/”“” З’Уп 3’ k2 = 45(-12.30-42) In the fourth-order Runge-Kutta method,  is computed using the following formula:  k_2 = h \cdot f\left( t_n + \frac{h}{2}, y_n + \frac{k_1}{2} \right) where: •  h is the step size •  t_n is the current value of the •  y_n is the current value of the dependent variable, •  k_1 = h \cdot f(t_n, y_n) is the first slope. The formula you provided seems to be incorrect or misformatted. If you have specific terms or a function f(t, y) , please clarify or correct the notation so I can provide the accurate calculation for  in your context.
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