Match the general solutions to the differential equations. (D²-18D+81)y=0 ✓ (D²+14D+49) y = 0 ✓ (D²+16D+64)y=0 ✓ (D²-12D+36) y = 0 8 A. y = Ae³+ Bxe 7x By=Ae+ Bxe" -9x Cy=Ae + Bxe D.y=C₁₂+0 E-y=Ae-75₁ -6x 6x ve di + Bxe Fy=Ae 9. Gy=Ae+ Bxe + Bxe -9c -8 H-y=Ae + Bxe -7x -8x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Match the general solutions to the differential equations.
(D²-18D+81)y=0
✓ (D²+14D+49) y = 0
✓ (D²+16D+64)y=0
✓ (D²-12D+36) y = 0
8
8
A. y = Ae³+ Bxe
7x
By=Ae+ Bxe"
Cy=Ae ⁹+ Bxe
D.y=C₁₂x+C₂x₂x
-6
F-y=Ae + Bxe
+ Bxe
Gy=Ae+ Bxe
H-y=Ae
-8
-9x
9x
+ Bxe
6x
-7x
-8x
Transcribed Image Text:Match the general solutions to the differential equations. (D²-18D+81)y=0 ✓ (D²+14D+49) y = 0 ✓ (D²+16D+64)y=0 ✓ (D²-12D+36) y = 0 8 8 A. y = Ae³+ Bxe 7x By=Ae+ Bxe" Cy=Ae ⁹+ Bxe D.y=C₁₂x+C₂x₂x -6 F-y=Ae + Bxe + Bxe Gy=Ae+ Bxe H-y=Ae -8 -9x 9x + Bxe 6x -7x -8x
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