y = e-³x cos3x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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kindly find the d.e.

y = e-³x cos3x
Transcribed Image Text:y = e-³x cos3x
6.) Find the D.E. Whose solution is :
2 -X
a.)
= 5x + x²³e²
roots:
M=0
m=0
m:-1
M = -1
m=-1
y =
y = Q₁ ² + ₂x²² + ₂² ² + ₁₂x²² + x² *
e
xe
factors
M
M
Mt1
mt.
mti
aux.eo. :
m² (m+ ₁)² = 0
2
[D² (0+1)³]y=0
D.E.
Joder 5th
Transcribed Image Text:6.) Find the D.E. Whose solution is : 2 -X a.) = 5x + x²³e² roots: M=0 m=0 m:-1 M = -1 m=-1 y = y = Q₁ ² + ₂x²² + ₂² ² + ₁₂x²² + x² * e xe factors M M Mt1 mt. mti aux.eo. : m² (m+ ₁)² = 0 2 [D² (0+1)³]y=0 D.E. Joder 5th
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