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(b) Consider yı and y2 as two solutions for the following DE where yı = x-1 and the Wronskian of the solutions is W (y1, Y2) = e*. Find p(x) and q(x) and write the DE. y" + p(x) y' + q(x) y = 0

(b) Consider yı and y2 as two solutions for the following DE where yı = x-1 and the Wronskian of the solutions is W (y1, Y2) = e*. Find p(x) and q(x) and write the DE. y" + p(x) y' + q(x) y = 0

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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(a) Determine if the following sets of functions are linearly dependent or linearly independent on IR. -x¸ -2e2a + 5e¬ª -x (ii) x|x|, x? (b) Consider of the solutions is W (y1, Y2) = e². Find p(x) and q(x) and write the DE. Y1 and Y2 as two solutions for the following DE where y1 = x-1 and the Wronskian y" + p(x) y' + q(x) y = 0
Transcribed Image Text:(a) Determine if the following sets of functions are linearly dependent or linearly independent on IR. -x¸ -2e2a + 5e¬ª -x (ii) x|x|, x? (b) Consider of the solutions is W (y1, Y2) = e². Find p(x) and q(x) and write the DE. Y1 and Y2 as two solutions for the following DE where y1 = x-1 and the Wronskian y" + p(x) y' + q(x) y = 0
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