Use h =1 to approximate u, (1) and u2(1) for the system U1' = -2u2, 1 uz u1 (0) = 1, u2(0) = 1 using the second order Runge-Kutta method. Ui(1) = -, u2(1) = - 1 2' OB. (1) =, u2(1) =1 2 i(1) = -, uz(1) =1 ODU1(1) =, u2(1) = – 1 2

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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Question 2
Use
to approximate u1(1)
and
h=1
u2(1) for the system
uz' = -2u2,
1
u1 (0) = 1, u2(0) = 1
using the second order Runge-Kutta method.
3
U1(1) :
'국, u2(1) 3D -1
2'
В.
Bu1(1) =7
U2(1) =1
"u;(1) = –
5, u2(1) = 1
-
2'
3
ODU1(1) =, u2(1) = – 1
Transcribed Image Text:Question 2 Use to approximate u1(1) and h=1 u2(1) for the system uz' = -2u2, 1 u1 (0) = 1, u2(0) = 1 using the second order Runge-Kutta method. 3 U1(1) : '국, u2(1) 3D -1 2' В. Bu1(1) =7 U2(1) =1 "u;(1) = – 5, u2(1) = 1 - 2' 3 ODU1(1) =, u2(1) = – 1
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