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Let a, BERbe solutions of the equation z2 + az + b 0 (a, b E R). Given the differential equation y" + ay'+ by = 0. it's true that, (A) if a = B. p(t) = keat (k E R) is its general integral (B) if a = B. p(t) = teat is one of its solutions (C) for all a E R. it has solutions unbounded in (-oo, 0) O (D) if a 3, it has constant, non zero solutions (E) for all a E R it has solutions unbounded in (0, +∞)

Let a, BERbe solutions of the equation z2 + az + b 0 (a, b E R). Given the differential equation y" + ay'+ by = 0. it's true that, (A) if a = B. p(t) = keat (k E R) is its general integral (B) if a = B. p(t) = teat is one of its solutions (C) for all a E R. it has solutions unbounded in (-oo, 0) O (D) if a 3, it has constant, non zero solutions (E) for all a E R it has solutions unbounded in (0, +∞)

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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Let a, BERbe solutions of the equation z2 + az + b= 0 (a, b E R). Given the differential equation y" + ay' + by = 0. it's true that, (A) if a = B.p(t) = keat (k E R) is its general integral (B) if a = B. p(t) = teat is one of its solutions (C) for all a E R. it has solutions unbounded in (-oo, 0) O (D) if a 3, it has constant, non zero solutions O (E) for all a ER it has solutions unbounded in (0, +oo)
Transcribed Image Text:Let a, BERbe solutions of the equation z2 + az + b= 0 (a, b E R). Given the differential equation y" + ay' + by = 0. it's true that, (A) if a = B.p(t) = keat (k E R) is its general integral (B) if a = B. p(t) = teat is one of its solutions (C) for all a E R. it has solutions unbounded in (-oo, 0) O (D) if a 3, it has constant, non zero solutions O (E) for all a ER it has solutions unbounded in (0, +oo)
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