i book 2005/4/7 22:31 page S-93 #114
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Answers to Selected Exercises for Chapter 11
Section 11.1 (page 899) 1. The approximate solutions in the plot in Figure S.16(a) were obtained with x = t = 1/20. The numerical boundary conditions u(0, t) = 0 was a
i book 2005/4/7 22:31 page S-84 #105
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Answers to Selected Exercises for Chapter 10
Section 10.1 (page 815) 1. (a) With tf = 0.1 and t = 105 x Maximum Error Error Ratio 1/5 0.0037159688 1/10 0.0007940482 4.6798 1/20 0.0001971695 4.0272 1/40 0.00004521
i book 2005/4/7 22:31 page S-76 #97
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Answers to Selected Exercises for Chapter 9
Section 9.1 (page 739) 3. (c) Set w(x, y ) = eA(x)+B (y) u(x, y ) and then f (x, y ) = eA(x)+B (y) f (x, y ), where A(x) is an antiderivative of a and B (y ) is an antid
i book 2005/4/7 22:31 page S-38 #59
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Answers to Selected Exercises for Chapter 6
Section 6.1 (page 437) 1. To two decimal places = 0.29, with the exception of small regions around = , = 4 and = 5 , where = 0.28 to two decimal places. 4 3. Using a not
i book 2005/4/7 22:31 page S-11 #32
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Answers to Selected Exercises for Chapter 3
Section 3.0 (page 148) 1. (a) 61 6 1 8 6 (b) operation not dened because matrices do not have same dimensions (b) 7 9 18 16
8 4 3. (a) 1 3 6 2 11 3 5. (a) 5 25 21 17 7.
i book 2005/4/7 22:31 page S-1 #22
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Answers to Selected Exercises for Chapter 1
Section 1.1 (page 16) 1. x = 1.4, s = 2.880972 3. 5 2.236067977 5. GIVEN: the integers n, m and p the elements in the matrix A, aij the elements in the matrix B, bjk for