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Question 3 of 8 < > View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is correct. Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −10)y' + (a² − 10a +24)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 → ∞o. All solutions will tend to zero as to whenever: α < 4 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 6 2

Question 3 of 8 < > View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is correct. Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −10)y' + (a² − 10a +24)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 → ∞o. All solutions will tend to zero as to whenever: α < 4 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 6 2

Algebra & Trigonometry with Analytic Geometry
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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Question 3 of 8 < > View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is correct. Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −10)y' + (a² − 10a +24)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 → ∞o. All solutions will tend to zero as to whenever: α < 4 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 6 2
Transcribed Image Text:Question 3 of 8 < > View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is correct. Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −10)y' + (a² − 10a +24)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 → ∞o. All solutions will tend to zero as to whenever: α < 4 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 6 2
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