Determine the values of a, if any, for which all solutions of the differential equation y" (2a – 9)y' + (a² – 9a + 14)y = 0 tend to zero as t → o. Also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t → . There is no value of a for which all solutions will tend to zero as t → 0. All solutions will tend to zero as t → o whenever: a Choose one There is no value of a for which all solutions will become unbounded as t → o. All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one
Determine the values of a, if any, for which all solutions of the differential equation y" (2a – 9)y' + (a² – 9a + 14)y = 0 tend to zero as t → o. Also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t → . There is no value of a for which all solutions will tend to zero as t → 0. All solutions will tend to zero as t → o whenever: a Choose one There is no value of a for which all solutions will become unbounded as t → o. All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one
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:Determine the values of , if any, for which all solutions of the
differential equation
y"
(2a – 9)y' + (a² – 9a + 14)y = 0
-
tend to zero as t → 0. Also determine the values of a, if any, for
which all (nonzero) solutions become unbounded as t → o.
There is no value of a for which all solutions will tend to zero
as t → 0.
All solutions will tend to zero as t → o whenever:
a Choose one
There is no value of a for which all solutions will become
unbounded as t → ∞.
All (nonzero) solutions will become unbounded as t → ∞ whenever:
a Choose one
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