5. (a) Find all singular points of (x³ + x² - 5x³x² + 8x - 4)y" + (5x + 10)y' + (10x − 10)y=0 - Note: You must show all factoring techniques used to factor the polynomial. (b) Classify any singular points from part (a) as a regular or irregular singular point. Then, in words, be sure to explain how you got to the answer that you did.

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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5. (a) Find all singular points of
(x³ + x² - 5x³ - x² + 8x - 4)y"' + (5x + 10)y' + (10x − 10)y=0
Note: You must show all factoring techniques used to factor the
polynomial.
(b) Classify any singular points from part (a) as a regular or irregular singular
point. Then, in words, be sure to explain how you got to the answer that you did.
Transcribed Image Text:5. (a) Find all singular points of (x³ + x² - 5x³ - x² + 8x - 4)y"' + (5x + 10)y' + (10x − 10)y=0 Note: You must show all factoring techniques used to factor the polynomial. (b) Classify any singular points from part (a) as a regular or irregular singular point. Then, in words, be sure to explain how you got to the answer that you did.
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