Question 2) Write only one step of the 3rd order Runge-Kutta method in solving the following differential equation. (Fin
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Question 2) Write only one step of the 3rd order Runge-Kutta method in solving the following differential equation. (Fin
Question 2) Write only one step of the 3rd order Runge-Kutta method in solving the following differential equation. (Find Y(0.2) and Z(0.2) only.) Y" - Y Y'2+Y3 = 0 dY dY Y(0)=1 , Y'(0)=0 Y' dr dr h= Ar=0.2 ro- 3 3rd order Runge - Kutta Method: Xn+1 = x, +h, Ynt: = yn + 4 4 1 k = h f(xn , yn) k = h f(x,+h k = h f(x,+En , . + J) + 3 3 3
h 0.5 2 13]-F(<1/17) -(420-40) -Y) *-* Y=0,0123 3-3.9852 k=8747•1}]) - 45 Flos -25770711992) - 1,05) - Listen kok Flyt [** )- 05 (4) 2010). 1426,689 - 1588386968 14.191 |-209,82 22, 1-699.9 h +2k x=xth = 0.5 IY ₂1 IY Y 1-96,18 3,1-J23 (4:48) + = 1 Z, 97938