Find the solution. (4D4 - 4D3 - 3D2 - 2D + 1)y = 0. A y = (c,+c,)e*+ (c,+cx)e/½ y= (c,+c)e/2+ (e,+cx)e* y = (e, +c_r)e=*+ (c,+cx)e/½ © y = c,e*+ce+ (c,+cx)e½
Find the solution. (4D4 - 4D3 - 3D2 - 2D + 1)y = 0. A y = (c,+c,)e*+ (c,+cx)e/½ y= (c,+c)e/2+ (e,+cx)e* y = (e, +c_r)e=*+ (c,+cx)e/½ © y = c,e*+ce+ (c,+cx)e½
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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Transcribed Image Text:Find the solution.
(4D4 - 4D3 - 3D2 - 2D + 1)y = 0.
A y = (c,+c,)e¯*+ (c,+cx)e¯/½
(B
= (c, +cx)e "/½+ (c,+cle"
y = (c,+c,x)e¯*+ (cz+cx)e/½
© y =c,e*+c,e*+ (c,+cx)e°/½
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