O y = C1e- Solve 2 y" +2 y' + 3 y = 0 O y = C1e¯i" cos(x) + C2 e ¯ sin(æ) COS C;e * cos(=) + C2 e sin(=) V5 CoS V5 /5 Oy = Cje= cos(a) + C2 e- sin 2 O y = C1e-# cos(x) + C2 e-® sin(x) CoS

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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Solve 2 y" +2 y' + 3 y = 0
%3|
O y = Cje* cos(x) + C2 e¯* sin(æ)
cos (2) + Cz e* sin()
V5
COS
1
V5
Ce
y = Cje cos()+ C2 e=* sin(a)
+ C2 e¯® sin
O y = C1e¬® cos(x) + C2 e¬# sin(x)
Transcribed Image Text:Solve 2 y" +2 y' + 3 y = 0 %3| O y = Cje* cos(x) + C2 e¯* sin(æ) cos (2) + Cz e* sin() V5 COS 1 V5 Ce y = Cje cos()+ C2 e=* sin(a) + C2 e¯® sin O y = C1e¬® cos(x) + C2 e¬# sin(x)
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