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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 %3! a. y(x) = (1-x) e3x %3D b. y(x) = (1-4x) O C. y(x) = (1-4x) e3x %3D d. y(x) = (1+4x) e 3x %3D O e. others f. y(x) = (1-4x) e О 9. У(х) (1+4х) h. y(x) = (1-4x) e 3x %3D

Solve the following homogeneous ODE y - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 %3! a. y(x) = (1-x) e3x %3D b. y(x) = (1-4x) O C. y(x) = (1-4x) e3x %3D d. y(x) = (1+4x) e 3x %3D O e. others f. y(x) = (1-4x) e О 9. У(х) (1+4х) h. y(x) = (1-4x) e 3x %3D

Advanced Engineering Mathematics
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 %3! y(x) = (1-x) ex а. %3D b. y(x) = (1-4x) ОС. ух) — (1-4х) е3x %3! d. y(x) = (1+4x) e 3x %3D е. others f. y(x) = (1-4x) e g. y(x) = (1+4x) h. y(x) = (1-4x) e 3x %3D
Transcribed Image Text:Solve the following homogeneous ODE y - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 %3! y(x) = (1-x) ex а. %3D b. y(x) = (1-4x) ОС. ух) — (1-4х) е3x %3! d. y(x) = (1+4x) e 3x %3D е. others f. y(x) = (1-4x) e g. y(x) = (1+4x) h. y(x) = (1-4x) e 3x %3D
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