Find the solution. (D³ + 6D² + 11D + 6)y = 0 -2x Av=ce-tre-te +c -3x By=c₁e*+c₂ C + czte © y = c₁₂e-²x + c₂e²x + c₂e² -2x -3x (D y = c₂₁x² + c₂e² +cze -3x

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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Find the solution.
(D³ + 6D² + 11D + 6)y = 0
-2x
Av=ce-tre-te
+c
-3x
By=c₁e*+c₂
C
+czxe
© y = c₁₂e-²x + c₂e²x + c₂e²
-2x
-3x
(D
y = c₂₁x² + c₂e²
+ cze
-3x
Transcribed Image Text:Find the solution. (D³ + 6D² + 11D + 6)y = 0 -2x Av=ce-tre-te +c -3x By=c₁e*+c₂ C +czxe © y = c₁₂e-²x + c₂e²x + c₂e² -2x -3x (D y = c₂₁x² + c₂e² + cze -3x
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