verly that the indicated family of fun tions is a solution of the When P = dP dt dP dt dt = P(1-P); P = 1+c₁et¹ Cet 1+q₁e¹ Thus, in terms of t, dP c₁et Need Help? 1- - 14/(1-1) = 1+ c₁e 1+ c₁e Read It Get 1+c₁et 1+c₁e¹ Watch It Get G00(1- 1+ equation. Assume an appropriate 1+ce/ - Get) + x -1-5 I + 9 VOO! calcPa Operatio Function Symbols Relation Sets Vectors Trig Grook
verly that the indicated family of fun tions is a solution of the When P = dP dt dP dt dt = P(1-P); P = 1+c₁et¹ Cet 1+q₁e¹ Thus, in terms of t, dP c₁et Need Help? 1- - 14/(1-1) = 1+ c₁e 1+ c₁e Read It Get 1+c₁et 1+c₁e¹ Watch It Get G00(1- 1+ equation. Assume an appropriate 1+ce/ - Get) + x -1-5 I + 9 VOO! calcPa Operatio Function Symbols Relation Sets Vectors Trig Grook
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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Question

Transcribed Image Text:Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution.
c₁et
1 + c₁et
When P =
dP
dt
dP
dt
Get
1+c₁e¹¹
Get
1+
= P(1 - P); P =
+
Get
Thus, in terms of t,
dP Cet
dt
Need Help?
1
1400/(1-40) -
c,et
=
Get
+
Cet
1+c₁e¹
Read It
||
Watch It
X
Get
1 + Get (1-_Get
+ G₁et)
1
+
X
|-|-
√OO!
calcPad
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Trig
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