Determine the values of a, if any, for which all solutions of the differential equation y' - (2a-13)y + (a²-13a +30)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→∞o. 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 There is no value of a for which all solutions will become unbounded as t Choose one All (nonzero) solution α unbounded as t→→∞ whenever:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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For the second part, "All (nonzero) solutions will become unbounded as t approaches infinity whenever:

Determine the values of a, if any, for which all solutions of the
differential equation
y" (2a-13)y + (a²-13a +30)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→ ∞o.
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
There is no value of a for which all solutions will become
unbounded as t
Choose one
All (nonzero) solution
α
VII
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 +30)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→ ∞o. 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 There is no value of a for which all solutions will become unbounded as t Choose one All (nonzero) solution α VII unbounded as t→→ ∞ whenever:
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