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.