Match the general solutions to the differential equations. (D²-3D-40)y=0 V ✓ (D²+ D-42)y=0 V (D²+8D+15)y=0
Match the general solutions to the differential equations. (D²-3D-40)y=0 V ✓ (D²+ D-42)y=0 V (D²+8D+15)y=0
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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Transcribed Image Text:Match the general solutions to the differential equations.
(D²-3D-40)y=0
✓ (D²+ D-42)y=0
✓ (D²+8D+15)y=0
✓(D²-4D-45)y=0
A.y=C₁e-³+C₁₂e³
B₁y=C₁e³+C₁₂e²
C.y=C₁e&+C₂e-St
-5x
-6x
D₁y=C₁₂e+C₂e
E₁y = C₁₂e-³ + C₂0²
F₁y=C₁e³+C₁₂€²
G₁y=C₁e5x + C₂-7x
H₁y=C₁e5 +€₁₂€²
-7x
-9c
-3c
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