Solve the following homogeneous equation and identify which case it follows (Case 1: b2-4ac > 0; Case 2: b2-4ac = 0; Case 3: b2-4ac < 0). 4y" + 12y' + 9y = 0

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Solve the following homogeneous equation and identify which case it follows (Case 1:
b2-4ac > 0; Case 2: b2-4ac = 0; Case 3: b2-4ac < 0). 4y" + 12y' + 9y = 0
%3D
%3D
O y=Cjex/2 +C,xe 3x/2.case 2
O y=Cjex/2-Cxe 3x/2 case 3
O y-Cje x/2 - Cze 3x/2, case 2
O v-Cqe 3/2 - Cze 3x/2, case 1
Transcribed Image Text:Solve the following homogeneous equation and identify which case it follows (Case 1: b2-4ac > 0; Case 2: b2-4ac = 0; Case 3: b2-4ac < 0). 4y" + 12y' + 9y = 0 %3D %3D O y=Cjex/2 +C,xe 3x/2.case 2 O y=Cjex/2-Cxe 3x/2 case 3 O y-Cje x/2 - Cze 3x/2, case 2 O v-Cqe 3/2 - Cze 3x/2, case 1
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