Solve the following homogeneous ODE y - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 Оа. у(х) - (1+4х) b. y(x) = (1-4x) others d. y(x) = (1+4x) e3x е. у(х) - (1-х) е3x f. y(x) = (1-4x) e3x O g. y(x) = (1-4x) e h. y(x) = (1-4x) e3x %3D

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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Solve the following homogeneous ODE
y - 6y + 9y = 0
with the following initial conditions
y(0) = 0
and
y(0) = -1
а. у(х) - (1+4х)
%3D
b. y(x) = (1-4x)
%3D
O C.
others
d. y(x) = (1+4x) e 3x
%3D
ое. у(х) - (1-х) е3х
f. y(x) = (1-4x) e 3x
О 9. Ух) 3 (1-4х) e*
h. y(x) = (1-4x) e3x
Transcribed Image Text:Solve the following homogeneous ODE y - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 а. у(х) - (1+4х) %3D b. y(x) = (1-4x) %3D O C. others d. y(x) = (1+4x) e 3x %3D ое. у(х) - (1-х) е3х f. y(x) = (1-4x) e 3x О 9. Ух) 3 (1-4х) e* h. y(x) = (1-4x) e3x
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