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Determine the values of a, if any, for which all solutions of the differential equation y"- (2a - 14)y + (a - 14a + 45)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→ 00. 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-→∞ whenever: a Choose one v There is no value of a for which all solutions will become unbounded as t o. All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one

Determine the values of a, if any, for which all solutions of the differential equation y"- (2a - 14)y + (a - 14a + 45)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→ 00. 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-→∞ whenever: a Choose one v There is no value of a for which all solutions will become unbounded as t o. All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the values of a, if any, for which all solutions of the differential equation y"- (2a - 14)y + (a - 14a + 45)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→ 00. There is no value of a for which all solutions will tend to zero as t → 0. All solutions will tend to zero as t-0∞ whenever: a Choose one There is no value of a for which all solutions will become unbounded as t o. 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 - 14)y + (a - 14a + 45)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→ 00. There is no value of a for which all solutions will tend to zero as t → 0. All solutions will tend to zero as t-0∞ whenever: a Choose one There is no value of a for which all solutions will become unbounded as t o. All (nonzero) solutions will become unbounded as t → ∞ whenever: a Choose one
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