02. Find the general solution of the logistical differential equation dy = kdt 1 Solution: Try it yourself Hints: Integrating both sides dy = kdt y(1- kdt y(L - y) Use partial fraction and solve L. 1 y(L - y) y L-y

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Mathematical modeling Use partial fraction and solve
02. Find the general solution of the logistical differential equation
y(1-
ya dy = kdt
Solution: Try it yourself
Hints: Integrating both sides
1
dy =
kdt
y(1
L.
dy
y(L – y)
kdt
Use partial fraction and solve
1 1
%3D
y(L - y)
yL-y
Transcribed Image Text:02. Find the general solution of the logistical differential equation y(1- ya dy = kdt Solution: Try it yourself Hints: Integrating both sides 1 dy = kdt y(1 L. dy y(L – y) kdt Use partial fraction and solve 1 1 %3D y(L - y) yL-y
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