The correct partial fraction expansion decomposition of 04+ S B x+1 B x+1 B O4 +₁+3 B S x+1 X с C x-4 C x+3 Bx+C x²-4x+3 C x-3 3x-1 x³+4x²+3x is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The text presents a question about finding the correct partial fraction decomposition of the given expression:

"The correct partial fraction expansion decomposition of \(\frac{3x-1}{x^3+4x^2+3x}\) is"

There are five multiple-choice options provided for the decomposition:

1. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x-3}\)
2. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x-4}\)
3. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x+3}\)
4. \(\frac{A}{s} + \frac{B}{x-1} + \frac{C}{x-3}\)
5. \(\frac{A}{s} + \frac{Bx+C}{x^2-4x+3}\)

Each option is presented with a circle next to it for selection. There are no graphs or diagrams in the image.
Transcribed Image Text:The text presents a question about finding the correct partial fraction decomposition of the given expression: "The correct partial fraction expansion decomposition of \(\frac{3x-1}{x^3+4x^2+3x}\) is" There are five multiple-choice options provided for the decomposition: 1. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x-3}\) 2. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x-4}\) 3. \(\frac{A}{s} + \frac{B}{x+1} + \frac{C}{x+3}\) 4. \(\frac{A}{s} + \frac{B}{x-1} + \frac{C}{x-3}\) 5. \(\frac{A}{s} + \frac{Bx+C}{x^2-4x+3}\) Each option is presented with a circle next to it for selection. There are no graphs or diagrams in the image.
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