The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = c1 + c2x + C3e + C4e“ 2x O y = c1x + c2 x + C3e -2x +C4e2¤ O y = c1x + c2e -2x
The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = c1 + c2x + C3e + C4e“ 2x O y = c1x + c2 x + C3e -2x +C4e2¤ O y = c1x + c2e -2x
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
Problem 3WE
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28.
Transcribed Image Text:The general solution to (D – 4D²) y = 0 is
%3D
Oy = c1 + c2x + c3 x²e=2® + c4x³ e2a
O y = c1+ c2x + c3e2
-2x
+ c4e2®
-2x
O y = c1x + C2x + C3e
+ c4e2¤
O y= c1x + C2e
-2x
+ c3e2a
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