y 1/(1 + C1e*) is a one-parameter family of solutions of the first-order DE y' y-y?. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(-1) 2 Oy-2/(2-e^-(x+1) Oy-2/(2-e^(1-x) 47 Oy-2/(2-e^(x-1) Oy-1/(2+e^(x-1)

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 8
7 P
y = 1/(1 + c1e*) is a one-parameter family of solutions of the first-order DE y' = y - y2. Find a solution of the first-order IVP
consisting of this differential equation and the given initial condition.
y(-1) 2
Zy-2/(2-e^-(x+1))
O
Ly-2/(2-e^(1-x))
y=2/(2-e^(x-1))
y=1/(2+e^(x-1))
7 pts
Question 9
Transcribed Image Text:Question 8 7 P y = 1/(1 + c1e*) is a one-parameter family of solutions of the first-order DE y' = y - y2. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(-1) 2 Zy-2/(2-e^-(x+1)) O Ly-2/(2-e^(1-x)) y=2/(2-e^(x-1)) y=1/(2+e^(x-1)) 7 pts Question 9
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