Use h=0.5 to approximate u (1.5) and u(1.5) for the system %3! 4 u(1) =5, u2= - 3' using the second order Runge-Kutta method. 311 257 OA u(1.5) = 216 2(1.5) = 216 311 257 OB u(1.5)= U2(1.5) = - 216 216 311 257 OCu(1.5)= - U2(1.5) = 216 216 311 257 OP(1.5)3= OD. U2(1.5) = - 216 %3D 216'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use h=0.5 to approximate u (1.5) and u,(1.5) for the system
1
4
2
U1(1)
U2= -
3
using the second order Runge-Kutta method.
257
OAu(1.5)%3D
OA.
311
u2(1.5)
216
216
257
u2(1.5) =
311
OB un(1.5) =
216
216
257
311
OCU(1.5)= -
U2(1.5) =
216
216
311
257
OPu(1.5) =
U2(1.5) = -
216
216'
Transcribed Image Text:Use h=0.5 to approximate u (1.5) and u,(1.5) for the system 1 4 2 U1(1) U2= - 3 using the second order Runge-Kutta method. 257 OAu(1.5)%3D OA. 311 u2(1.5) 216 216 257 u2(1.5) = 311 OB un(1.5) = 216 216 257 311 OCU(1.5)= - U2(1.5) = 216 216 311 257 OPu(1.5) = U2(1.5) = - 216 216'
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