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.