Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case 2: repeated roots; Case 3: imaginary roots). 4y" + y' 8y O y = Cjex + C2e%, case 2 O y = C1e*+ C2e, case 1 O y = C1e* - C2e*, case 1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 45E
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Solve the following homogeneous LDE and identify which case it
follows
(Case 1: distinct roots; Case 2: repeated roots; Case 3: imaginary
roots).
4y" + y' 8y
O y = C1eX + C2e%, case 2
O y = C1e*+ C2e*, case 1
O y = Cje* - C2e*, case 1
O None of the above
Transcribed Image Text:Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case 2: repeated roots; Case 3: imaginary roots). 4y" + y' 8y O y = C1eX + C2e%, case 2 O y = C1e*+ C2e*, case 1 O y = Cje* - C2e*, case 1 O None of the above
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