Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case 2: repeated roots; Case 3: imaginary roots). (D3 + 9D2 +23D+ 15) y = 0 O y = C1ex + C2e5x + C3e3x, case 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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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).
(D3 +9D2 +23D+ 15) y = 0
O y = C1e* + C2e5x + C3e3x, case 2
O y = Cjex + C2e 5x + C3e 3x, case 1
O y = C1e* + C2ex+ C3e3x, case 3
O y = C1e* + C2ex + C3ex, case 1
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). (D3 +9D2 +23D+ 15) y = 0 O y = C1e* + C2e5x + C3e3x, case 2 O y = Cjex + C2e 5x + C3e 3x, case 1 O y = C1e* + C2ex+ C3e3x, case 3 O y = C1e* + C2ex + C3ex, case 1
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