Suppose that the rate of change of Q with respect to t is given by = kQ(M- Q), dt where 0 < Q < M and Q(0) = Qo. Show that M Q(t) || 1+ Ae-Mkt' where A = (M – Qo)/ Qo.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the rate of change of Q with respect to t is given by
OP
= kQ(M-Q),
dt
where 0 < Q < M and Q(0) = Qo. Show that
Q(t) =
1+ Ae-Mkt '
where A = (M – Qo)/ Qo.
Transcribed Image Text:Suppose that the rate of change of Q with respect to t is given by OP = kQ(M-Q), dt where 0 < Q < M and Q(0) = Qo. Show that Q(t) = 1+ Ae-Mkt ' where A = (M – Qo)/ Qo.
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