Show thatthe fourth-order Runge-Kutta method, A:, = hf(ti,Wi), ki = hfitj + h/2, Wi +
Chapter 5, Problem 10(choose chapter or problem)
Show thatthe fourth-order Runge-Kutta method, A:, = hf(ti,Wi), ki = hfitj + h/2, Wi + k\/2), h = hfiU + h/2, Wi + k2/2), k4 = hfUi + h, Wi + ki), I w,+i = Wi + -(k\ + 2k2 + 2ki + ^4), 6 when applied to the differential equation y' Xy, can be written in the form w/+i = ^1 + AX + ~(hX)~ + (/zX) , + (/iX)4 ^ w,.
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