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5. x = 2x2 +4x3 + 3e, x = x1 + x2- 2x3 +1, x =-2x1 + 5x3, with x1(0) = 1, x2(0) 0, and x3(0) 0. Solve Exercises 1 through 6 by elimination. 1. 2x = x1 - x2, 2x, = 3x1 + 5x2. 2. x = -10x1- 18.x2, x 6x1+ 11.x2. 3. x = 2x1 – 12x2, 2x = 3x - 8x2, with x(0) = 0 and x2(0) = 1. 6. x = - 2x1 + 2x2 + 2x3 +3e, x, = -x1-x2- 2x3 + 1, X = x1 + 2x2 + 3x3 -3, with x1(0) = 1, x2(0) = 1, and X3(0) = 0. 4. x = 3x2 +t, x = 2x1 + x2 - 3, with x(0) = 1 and x2(0) = 1.

5. x = 2x2 +4x3 + 3e, x = x1 + x2- 2x3 +1, x =-2x1 + 5x3, with x1(0) = 1, x2(0) 0, and x3(0) 0. Solve Exercises 1 through 6 by elimination. 1. 2x = x1 - x2, 2x, = 3x1 + 5x2. 2. x = -10x1- 18.x2, x 6x1+ 11.x2. 3. x = 2x1 – 12x2, 2x = 3x - 8x2, with x(0) = 0 and x2(0) = 1. 6. x = - 2x1 + 2x2 + 2x3 +3e, x, = -x1-x2- 2x3 + 1, X = x1 + 2x2 + 3x3 -3, with x1(0) = 1, x2(0) = 1, and X3(0) = 0. 4. x = 3x2 +t, x = 2x1 + x2 - 3, with x(0) = 1 and x2(0) = 1.

Advanced Engineering Mathematics
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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5. x =2x2 + 4x3 +3e, x =x +x2 - 2x3 +1, x =-2x1 + 5x3, with x1(0) = 1, x2(0) 0, and x3(0) = 0. 6. x = - 2x1 + 2x2 + 2x3+3e', x, =-x-x2- 2x3 + 1, x = x1+2x2 +3x3 - 3, with x(0) = 1, x2(0) = 1, and x3(0) = 0. Solve Exercises 1 through 6 by elimination. 1. 2x = x1 - x2, 2x, = 3x1 + 5.x2. 2. x = -10x1 - 18x2, x, 6x1 + 11x2. 3. x = 2x1 - 12x2, 2x, 3x - 8x2, with x1 (0) 0 and x2(0) = 1. 4. x = 3x2 +t, x, = 2x1 + x2- 3, with x(0) = 1 and X2(0) = 1.
Transcribed Image Text:5. x =2x2 + 4x3 +3e, x =x +x2 - 2x3 +1, x =-2x1 + 5x3, with x1(0) = 1, x2(0) 0, and x3(0) = 0. 6. x = - 2x1 + 2x2 + 2x3+3e', x, =-x-x2- 2x3 + 1, x = x1+2x2 +3x3 - 3, with x(0) = 1, x2(0) = 1, and x3(0) = 0. Solve Exercises 1 through 6 by elimination. 1. 2x = x1 - x2, 2x, = 3x1 + 5.x2. 2. x = -10x1 - 18x2, x, 6x1 + 11x2. 3. x = 2x1 - 12x2, 2x, 3x - 8x2, with x1 (0) 0 and x2(0) = 1. 4. x = 3x2 +t, x, = 2x1 + x2- 3, with x(0) = 1 and X2(0) = 1.
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