(1 - x)y" + ry' -y = 2(x – 1) 15. y1(x) = x y2(x) = e*

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 instructions say to find a particular solution of the nonhomogeneous equation, given that the functions y1(x) and y2(x) are linearly independent solutions of the corresponding  homogeneous equation. Note: The coefficient of y″ must always be 1, and hence a preliminary division may be required.

 

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(1 - x)y" + ry' -y = 2(x – 1)
15. y1(x) = x
y2(x) = e*
Transcribed Image Text:(1 - x)y" + ry' -y = 2(x – 1) 15. y1(x) = x y2(x) = e*
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