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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 -8t Ay=C₁e-³² +0 B.y=C₁e³+C₁₂e-⁹ C₁y=C₁e-5x + C₂ By-eg^+Cg=" E.y=C₁e&+C₂e² F₁y=C₁e-³x + C₂ GymC+Cg³

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 -8t Ay=C₁e-³² +0 B.y=C₁e³+C₁₂e-⁹ C₁y=C₁e-5x + C₂ By-eg^+Cg=" E.y=C₁e&+C₂e² F₁y=C₁e-³x + C₂ GymC+Cg³

Advanced Engineering Mathematics
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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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 -8t Ay=C₁e-³² +0 B.y=C₁e³+C₁₂e-⁹ -5x C₁y=C₁e-³t+C₁₂e By-eg^+Cg=" E.y=C₁e&+C₂e² F₁y=C₁e-³x + C₂ GymC+Cg³
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 -8t Ay=C₁e-³² +0 B.y=C₁e³+C₁₂e-⁹ -5x C₁y=C₁e-³t+C₁₂e By-eg^+Cg=" E.y=C₁e&+C₂e² F₁y=C₁e-³x + C₂ GymC+Cg³
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