A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (r2 – 4r + 8) r°(r – 2)4 = 0 Write the nine fundamental solutions to the differential equation. Y1 = e^-xcos(sqrt2)x Y2 = Y3 = Y4 Y5 = Y6 = Y7 Y8 = Y9 = || ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A 9th order, linear, homogeneous, constant coefficient differential equation has a
characteristic equation which factors as follows.
(r2 – 4r + 8) r(r – 2)' = 0
Write the nine fundamental solutions to the differential equation.
e^-xcos(sqrt2)x
Y2
Y3
Y4
Y5 =
Y6
Y7
Y8 =
Y9 =
||
||
Transcribed Image Text:A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (r2 – 4r + 8) r(r – 2)' = 0 Write the nine fundamental solutions to the differential equation. e^-xcos(sqrt2)x Y2 Y3 Y4 Y5 = Y6 Y7 Y8 = Y9 = || ||
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