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2) Given that y = x and y = eª are solutions to the DE (1 – x)y" + xy – y = 0 on (1, 0), use Variation of Parameters to find the general solution to the DE (1 – æ)y/" + xy – y = (x – 1)²e¬º. - Don't forget to check your answer, to make sure you are correct!

2) Given that y = x and y = eª are solutions to the DE (1 – x)y" + xy – y = 0 on (1, 0), use Variation of Parameters to find the general solution to the DE (1 – æ)y/" + xy – y = (x – 1)²e¬º. - Don't forget to check your answer, to make sure you are correct!

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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2) Given that y= x and y = e® are solutions to the DE (1 – x)y" + xy – y = 0 | on (1, oo), use Variation of Parameters to find the general solution to the DE (1 – x)y" + xy – y = (x – 1)²e. Don't forget to check your answer, to make sure you are correct!
Transcribed Image Text:2) Given that y= x and y = e® are solutions to the DE (1 – x)y" + xy – y = 0 | on (1, oo), use Variation of Parameters to find the general solution to the DE (1 – x)y" + xy – y = (x – 1)²e. Don't forget to check your answer, to make sure you are correct!
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