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x 35x1 + 5x2 + 2x3, x2 = -6x1 – 6x2 – 5x3, 3=6x1+6x2 + 5x3 26. Fina ine narticuar solution of the system %3D nd the narticuuar solution of the system

x 35x1 + 5x2 + 2x3, x2 = -6x1 – 6x2 – 5x3, 3=6x1+6x2 + 5x3 26. Fina ine narticuar solution of the system %3D nd the narticuuar solution of the system

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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problem 25

X3 = 6x1 + 6x2 + 5x3 26. Fina ine particular solution of the system 25. x, 5x1+5x2 + 2x3, x2 = -6x1 – 6x2 – 5x3, In Problems 17 through 25, the eigenvalues of the coefficient matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. (28) 17. x = 4x1+x2+4x3, x =x1+7x2+x3, x = 4x1+x2+4x3 18. x = x1+2x2+2x3, x, =2x1+7x2+x3, x3 = 2x1+x2 +7x3 19. x=4x1+x2+x3, x,=x1++4x2+x3, x3=x1+x2+4x3 20. x = 5x1 +x2 +3x3, x, =x1+7x2+t3 x3=D3x1+x2+ 5x3 21. x1= 5x1-6x3, x,=2x1-x2-2x3, x=4x1-2x2-4x3 22. x = 3x1 +2x2 +2x3, x =-5x1-4x2 - 2x3, X3% D5x1+5x2+3x3 25. X1 = 3x1 +x2 +x3, x, =-5x1 - 3x2-X3, X3%3D5X1+5x2+3x3 24. x, = 27. V1 = || 28. V = %D %D The amou Fig. 5.2.8 dx (29) d. where ki ****= 2x1+ x2-x3, x =-4x1-3x2-X3, Y=4x1+4x2+2x3 х1 (1) and (lb), and graphs of %3D | | = 5x1 + 5x2 + 2x3, x, = -6x1 – 6x2 - 5x3, %3D (30) (30) is na ihe particuiar solution of the system at dx1 3x1 + X3, dt dra
Transcribed Image Text:X3 = 6x1 + 6x2 + 5x3 26. Fina ine particular solution of the system 25. x, 5x1+5x2 + 2x3, x2 = -6x1 – 6x2 – 5x3, In Problems 17 through 25, the eigenvalues of the coefficient matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. (28) 17. x = 4x1+x2+4x3, x =x1+7x2+x3, x = 4x1+x2+4x3 18. x = x1+2x2+2x3, x, =2x1+7x2+x3, x3 = 2x1+x2 +7x3 19. x=4x1+x2+x3, x,=x1++4x2+x3, x3=x1+x2+4x3 20. x = 5x1 +x2 +3x3, x, =x1+7x2+t3 x3=D3x1+x2+ 5x3 21. x1= 5x1-6x3, x,=2x1-x2-2x3, x=4x1-2x2-4x3 22. x = 3x1 +2x2 +2x3, x =-5x1-4x2 - 2x3, X3% D5x1+5x2+3x3 25. X1 = 3x1 +x2 +x3, x, =-5x1 - 3x2-X3, X3%3D5X1+5x2+3x3 24. x, = 27. V1 = || 28. V = %D %D The amou Fig. 5.2.8 dx (29) d. where ki ****= 2x1+ x2-x3, x =-4x1-3x2-X3, Y=4x1+4x2+2x3 х1 (1) and (lb), and graphs of %3D | | = 5x1 + 5x2 + 2x3, x, = -6x1 – 6x2 - 5x3, %3D (30) (30) is na ihe particuiar solution of the system at dx1 3x1 + X3, dt dra
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