Find the general solution to the homogeneous differential equation d?y dy 0- - 9y = 0 dx dx? The solution has the form y = Cifi(x) + C2f2(x) with fi(x) = e^x help (formulas) and f2(x) = e^(-3x) help (formulas) Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that f1, f2 are normalized with their value at æ = 0 equal to 1.
Find the general solution to the homogeneous differential equation d?y dy 0- - 9y = 0 dx dx? The solution has the form y = Cifi(x) + C2f2(x) with fi(x) = e^x help (formulas) and f2(x) = e^(-3x) help (formulas) Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that f1, f2 are normalized with their value at æ = 0 equal to 1.
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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Transcribed Image Text:Find the general solution to the homogeneous differential equation
d?y
dy
9y = 0
dx?
dx
The solution has the form
y = C1f1(x) + C2f2(x)
with f1 (x)
e^x
help
(formulas)
and f2(x)
= e^ (-3x)
help
(formulas)
Left to your own devices, you will probably write down the correct answers, but in case you
want to quibble, enter your answers so that f1, f2 are normalized with their value at æ
equal to 1.
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