Find the solution of the initial value problem: (4) y * – 6y " + 9 y "=0 [y(0) = -4, y '(0) =5, y "(0) =0, y "(0) =0] a) O y=-4 e*+ 5 xe* b) О у--4 -5х c) O y-5e* - 4xe3* d) y = -4 + 5x y =5 – 4x f) None of the above.
Find the solution of the initial value problem: (4) y * – 6y " + 9 y "=0 [y(0) = -4, y '(0) =5, y "(0) =0, y "(0) =0] a) O y=-4 e*+ 5 xe* b) О у--4 -5х c) O y-5e* - 4xe3* d) y = -4 + 5x y =5 – 4x f) None of the above.
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 of the initial value problem:**
\[
y^{(4)} - 6y'' + 9y = 0
\]
\[
[y(0) = -4, \, y'(0) = 5, \, y''(0) = 0, \, y'''(0) = 0]
\]
a) ○ \( y = -4 \, e^{3x} + 5 \, x \, e^{3x} \)
b) ○ \( y = -4 - 5x \)
c) ○ \( y = 5 \, e^{3x} - 4 \, x \, e^{3x} \)
d) ○ \( y = -4 + 5x \)
e) ○ \( y = 5 - 4x \)
f) ○ None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88afae02-80d5-49da-ad82-a7933e6f4445%2F2a2a3637-2fbf-4298-a528-3df87264d3cd%2F4gg8lb_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the solution of the initial value problem:**
\[
y^{(4)} - 6y'' + 9y = 0
\]
\[
[y(0) = -4, \, y'(0) = 5, \, y''(0) = 0, \, y'''(0) = 0]
\]
a) ○ \( y = -4 \, e^{3x} + 5 \, x \, e^{3x} \)
b) ○ \( y = -4 - 5x \)
c) ○ \( y = 5 \, e^{3x} - 4 \, x \, e^{3x} \)
d) ○ \( y = -4 + 5x \)
e) ○ \( y = 5 - 4x \)
f) ○ None of the above.
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