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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 V V 6x A=y=C₁e + C₂e B.y=C₁e-6x₁ C₁y=C₁e Fy=C₁ -7x +C₂e + Sx D.y=C₁₂e-³x+C₁₂e⁹ E₁y=C₁e³+C₂e² est + C₂e -7x -9x -5x G₁y=C₁e+C₁₂ HymCp+Cgk 3x

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 V V 6x A=y=C₁e + C₂e B.y=C₁e-6x₁ C₁y=C₁e Fy=C₁ -7x +C₂e + Sx D.y=C₁₂e-³x+C₁₂e⁹ E₁y=C₁e³+C₂e² est + C₂e -7x -9x -5x G₁y=C₁e+C₁₂ HymCp+Cgk 3x

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 V - (D²-4D-45)y=0 Ay=C₁₂e²x B.y=C₁₂-6x + C₂₁² C.y=C₁e-& D.y=C₁e-³t+ E.y=C₁e³ + C₂ 8x F.y=C₁ + G₁y=C₁e¯¾_ H₁y=C₁e³+C₁₂e³ -7x e −³x + С₂e-³¹
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 V - (D²-4D-45)y=0 Ay=C₁₂e²x B.y=C₁₂-6x + C₂₁² C.y=C₁e-& D.y=C₁e-³t+ E.y=C₁e³ + C₂ 8x F.y=C₁ + G₁y=C₁e¯¾_ H₁y=C₁e³+C₁₂e³ -7x e −³x + С₂e-³¹
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