Determine the values of a, if any, for which all solutions of the differential equation y" (2a - 13)y' + (a² - 13a + 36)y = 0 tend to zero as t→∞. Also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t → ∞. -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine the values of a, if any, for which all solutions of the
differential equation
y" − (2a − 13)y' + (a² − 13a + 36)y = 0
-
if
tend to zero as t →∞. Also determine the values of α,
which all (nonzero) solutions become unbounded as t
There is no value of a for which all solutions will tend to zero
as t → ∞.
All solutions will tend to zero as to whenever:
Choose one
a
There is no value
unbounded as t
All (nonzero) solution
Choose one
V
a Choose one ▾
any, for
∞.
h all solutions will become
unbounded as t → ∞ whenever:
Transcribed Image Text:Determine the values of a, if any, for which all solutions of the differential equation y" − (2a − 13)y' + (a² − 13a + 36)y = 0 - if tend to zero as t →∞. Also determine the values of α, which all (nonzero) solutions become unbounded as t There is no value of a for which all solutions will tend to zero as t → ∞. All solutions will tend to zero as to whenever: Choose one a There is no value unbounded as t All (nonzero) solution Choose one V a Choose one ▾ any, for ∞. h all solutions will become unbounded as t → ∞ whenever:
Determine the values of a, if any, for which all solutions of the
differential equation
y" (2a - 13)y' + (a² — 13a +36) y
-
= 0
tend to zero as t→∞o. Also determine the values of a,
which all (nonzero) solutions become unbounded as t
All solutions will tend to zero as t→∞ whenever:
Choose one ▼
if any,
There is no value of a for which all solutions will tend to zero
as t→ ∞.
a
any, for
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 ▾
Transcribed Image Text:Determine the values of a, if any, for which all solutions of the differential equation y" (2a - 13)y' + (a² — 13a +36) y - = 0 tend to zero as t→∞o. Also determine the values of a, which all (nonzero) solutions become unbounded as t All solutions will tend to zero as t→∞ whenever: Choose one ▼ if any, There is no value of a for which all solutions will tend to zero as t→ ∞. a any, for 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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