Find the general solution of the differential equation y" – 4y + 4y = 0. Oy=ce² +ce Oy=tic-2 | Cre ○y=c₁e 2x -22 ○ y=c₁€¯²x + €₂x€¯²x 2r -22 Oy=ae +cxe2r Oy=c₁e²c₂e²x Question 8

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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Question 7
Find the general solution of the differential equation y" – 4y + 4y = 0.
Oy=ce² +₂e=²²¹
Oy=ce 2+C2ce
○ y=c₁€¯²ª + c₂æе-²
Oy=qe+c2e2
Oy=c₁e²c₂e²
Question 8
Find the general solution of the differential equation y" - 5y' - 6y = 0.
67
Oy=ce 14 c₂ef
Oy=ce + ₂0
Oy cie
6x
c₂re
Oy=c₁ef¹ + c₂e+1
Oy=q₁e6z + c₂xe*
Transcribed Image Text:Question 7 Find the general solution of the differential equation y" – 4y + 4y = 0. Oy=ce² +₂e=²²¹ Oy=ce 2+C2ce ○ y=c₁€¯²ª + c₂æе-² Oy=qe+c2e2 Oy=c₁e²c₂e² Question 8 Find the general solution of the differential equation y" - 5y' - 6y = 0. 67 Oy=ce 14 c₂ef Oy=ce + ₂0 Oy cie 6x c₂re Oy=c₁ef¹ + c₂e+1 Oy=q₁e6z + c₂xe*
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