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Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 5x2 9x - 70 A B + X - 5 %3D (x + 5)(x - 5)2 x + 5 (x – 5)2 (А, в, С) %3

Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 5x2 9x - 70 A B + X - 5 %3D (x + 5)(x - 5)2 x + 5 (x – 5)2 (А, в, С) %3

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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Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 5x2 - 9x 70 A B (x + 5)(x – 5)2 x + 5 X - 5 (x – 5)2 (А, В, С) %3D
Transcribed Image Text:Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 5x2 - 9x 70 A B (x + 5)(x – 5)2 x + 5 X - 5 (x – 5)2 (А, В, С) %3D
Expert Solution
Step 1

Given that

5x2-9x-70x+5x-52=Ax+5+Bx-5+Cx-52

To find A,B,C:

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