The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx Y2 = Y,(x) / - (5) хр. as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe-*

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-SP(x) dx
Yz = ¥q(x) / -
(5)
dx
as instructed, to find a second solution y,(x).
y" + 2y' + y = 0; y, = xeX
Y2
Transcribed Image Text:The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Yz = ¥q(x) / - (5) dx as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xeX Y2
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Step 1

we have differential equation y''+2y'+y=0 given y1(x)=xe-x  thenwe have to find y2(x)

 

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