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-P(x) dx rdx Y2 = y,(x) (5) as instructed, to find a second solution y,(x). y" - 12y' + 36y = 0; y, = e6x Y2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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 = Y1(x) /-
xp-
(5)
as instructed, to find a second solution y,(x).
у" — 12y' + 3бу %3D 0%;
Y1
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, -SP(x) dx Y2 = Y1(x) /- xp- (5) as instructed, to find a second solution y,(x). у" — 12y' + 3бу %3D 0%; Y1 Y2 =
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