If a and ß are positive constants, show that the particular solution of dy %3D У (В — ау) dt that satisfies the condition, y = y, when t = 0, is Byoeßt y = B-ayo+ayoeßt lim y = and that %3D
If a and ß are positive constants, show that the particular solution of dy %3D У (В — ау) dt that satisfies the condition, y = y, when t = 0, is Byoeßt y = B-ayo+ayoeßt lim y = and that %3D
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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Transcribed Image Text:If a and ß are positive constants, show that the particular solution of
dy
%3D У (В — ау)
dt
that satisfies the condition, y = y when t = 0, is
Byoeßt
y =
B-ayo+ay,eßt
lim y =
t→∞
and that
%3D
a
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