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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
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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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 Operations Functions Symbols Relations Sets Vectors Trig Grook
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 Operations Functions Symbols Relations Sets Vectors Trig Grook
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