(r) (Of1/əx1) (afi/ax) (af2/dx1) (a2/ax)") Ar? -0.5743 2.0000 30.2494 -0.5436 13.4461 3.8772 0.7720 -0.0059 -0.0057 5.51 x 10-6 0.0 2.0000 15.4731 8.3891 25.5060 7.3133 5.1395 3.8541 3.9830 3.7127 15.7781 9.6024 7.3591 6.1183 6.4358 6.4366 6.4366 1.4247 1.0713 6.4354 -0.3544 --0.0138 -0.0591 0.00159 1.4564 -0.3106 12.5880 6.8067 5.5679 5.4244 3.4806 -0.1878 0.0417 0.000368 1.1457 1.3802 0.1290 2.7149 2.7126 2.7183 2.7183 4 1.0575 0.9984 1.0000 0.9579 --0.0122 0.9996 1.0000 3.7183 3.7183 5.4366 5.4366 12.1 x 106 6. 2.86 x 10 6 -3.0 x 10 1.0000 -2 x 109 1.0000

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

Solve the simultaneous, nonlinear equations
x1 ln x2 + x2 exp( x1) =ex(1)
x2 ln x1+ 2x1 exp (x2) =2 exp(1)
for x1 and x2 to within ± 0.001, by the Newton–Raphson method.

(r)
(Of1/əx1) (afi/ax) (af2/dx1)
(a2/ax)")
Ar?
-0.5743
2.0000
30.2494
-0.5436
13.4461
3.8772
0.7720
-0.0059
-0.0057
5.51 x 10-6
0.0
2.0000
15.4731
8.3891
25.5060
7.3133
5.1395
3.8541
3.9830
3.7127
15.7781
9.6024
7.3591
6.1183
6.4358
6.4366
6.4366
1.4247
1.0713
6.4354
-0.3544
--0.0138
-0.0591
0.00159
1.4564
-0.3106
12.5880
6.8067
5.5679
5.4244
3.4806
-0.1878
0.0417
0.000368
1.1457
1.3802
0.1290
2.7149
2.7126
2.7183
2.7183
4
1.0575
0.9984
1.0000
0.9579
--0.0122
0.9996
1.0000
3.7183
3.7183
5.4366
5.4366
12.1 x 106
6.
2.86 x 10 6
-3.0 x 10
1.0000
-2 x 109
1.0000
Transcribed Image Text:(r) (Of1/əx1) (afi/ax) (af2/dx1) (a2/ax)") Ar? -0.5743 2.0000 30.2494 -0.5436 13.4461 3.8772 0.7720 -0.0059 -0.0057 5.51 x 10-6 0.0 2.0000 15.4731 8.3891 25.5060 7.3133 5.1395 3.8541 3.9830 3.7127 15.7781 9.6024 7.3591 6.1183 6.4358 6.4366 6.4366 1.4247 1.0713 6.4354 -0.3544 --0.0138 -0.0591 0.00159 1.4564 -0.3106 12.5880 6.8067 5.5679 5.4244 3.4806 -0.1878 0.0417 0.000368 1.1457 1.3802 0.1290 2.7149 2.7126 2.7183 2.7183 4 1.0575 0.9984 1.0000 0.9579 --0.0122 0.9996 1.0000 3.7183 3.7183 5.4366 5.4366 12.1 x 106 6. 2.86 x 10 6 -3.0 x 10 1.0000 -2 x 109 1.0000
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