Determine the solution of the differential equation y" - 6y" + 12y'-8y = 0 y = C,e 2x + C,xe-2x + C3x2e 2x + C3x?e 2x a. b. y = C,e2x + C2x²e2x + C3x³e2x y = C,e2x + C,xe2x + C3x?e2x с. d. y = C,e 2x + Cze2x + C,x²e2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine the solution of the differential equation
y- 6y" + 12y-8y = 0
y = C,e 2x + C,xe-2x + C,x2e 2x
+ C3x?e 2x
a.
b.
y = C,e2x + C2x²e2x + C3x³e2x
с.
y = C,e2x + C,xe²x + C3x²e*
d.
y = C,e¯* + C,e2* + C3x²e2*
Transcribed Image Text:Determine the solution of the differential equation y- 6y" + 12y-8y = 0 y = C,e 2x + C,xe-2x + C,x2e 2x + C3x?e 2x a. b. y = C,e2x + C2x²e2x + C3x³e2x с. y = C,e2x + C,xe²x + C3x²e* d. y = C,e¯* + C,e2* + C3x²e2*
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