Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 14)y' + (a² – 14a + 40)y = 0 → 00. Also determine the values of a, if any, for tend to zero as t which all (nonzero) solutions become unbounded as t There is no value of a for which all solutions will tend to zero as t → o∞. All solutions will tend to zero as t →∞ whenever: a Choose one v There is no value of a for which all solutions will become O unbounded as t 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
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Determine the values of a, if any, for which all solutions of the
differential equation
y" – (2a – 14)y' + (a² – 14a + 40)y = 0
→ 00. Also determine the values of a, if any, for
tend to zero as t
which all (nonzero) solutions become unbounded as t
There is no value of a for which all solutions will tend to zero
as t → o∞.
All solutions will tend to zero as t →∞ whenever:
a Choose one v
There is no value of a for which all solutions will become
O unbounded as t
All (nonzero) solutions will become unbounded as t → ∞ whenever:
a Choose one v
Transcribed Image Text:Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 14)y' + (a² – 14a + 40)y = 0 → 00. Also determine the values of a, if any, for tend to zero as t which all (nonzero) solutions become unbounded as t There is no value of a for which all solutions will tend to zero as t → o∞. All solutions will tend to zero as t →∞ whenever: a Choose one v There is no value of a for which all solutions will become O unbounded as t All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one v
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