Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 11)y + (a2 – 11a + 30)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 → O0. All solutions will tend to zero as t → 0 whenever: Choose one - a There is no value of a for which all solutions will become unbounded as t → o. All (nonzero) solutions will become unbounded as t → o 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 – 11)y + (a2 – 11a + 30)y = 0
any, for
which all (nonzero) solutions become unbounded as t → 0o.
tend to zero as t → 0. Also determine the values of a,
if
There is no value of a for which all solutions will tend to zero
as t
→ O0.
All solutions will tend to zero as t → 0 whenever:
Choose one -
a
There is no value of a for which all solutions will become
unbounded as t → o.
All (nonzero) solutions will become unbounded as t → o whenever:
a Choose one
Transcribed Image Text:Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 11)y + (a2 – 11a + 30)y = 0 any, for which all (nonzero) solutions become unbounded as t → 0o. tend to zero as t → 0. Also determine the values of a, if There is no value of a for which all solutions will tend to zero as t → O0. All solutions will tend to zero as t → 0 whenever: Choose one - a There is no value of a for which all solutions will become unbounded as t → o. All (nonzero) solutions will become unbounded as t → o whenever: a Choose one
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