2. Express the region between y = e* and y = 4 – e-* as both a type I region and a type IlI region. The intersection points are (In(2 + V3),2+ v3) and (- In(2+ V3),), or approximately (1.317, 3.732) and (-1.317, 0.268). 2+V3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Did I get my type 1 and type 2 regions correct? Thanks!
2. Express the region between y = e* and y = 4 – e-x as both a type I region
and a type II region. The intersection points are (In(2+ v3),2 + v3) and
(- In(2 + v3),), or approximately (1.317, 3.732) and (-1.317, 0.268).
Type
1:
gz (2)= 4- e
Tgpe 2: y: [ .2b8,3.232] x: [-In(-9+), Iny] hi(y)= -In (-y+4)
hz (4)= Inly)
1.317
9-4-e"
リー4= -e
In y = Ine
「リ+4= e"?
In (-g+ 4)= In(e")
Iny = X
K= -In (-y+4)
Transcribed Image Text:2. Express the region between y = e* and y = 4 – e-x as both a type I region and a type II region. The intersection points are (In(2+ v3),2 + v3) and (- In(2 + v3),), or approximately (1.317, 3.732) and (-1.317, 0.268). Type 1: gz (2)= 4- e Tgpe 2: y: [ .2b8,3.232] x: [-In(-9+), Iny] hi(y)= -In (-y+4) hz (4)= Inly) 1.317 9-4-e" リー4= -e In y = Ine 「リ+4= e"? In (-g+ 4)= In(e") Iny = X K= -In (-y+4)
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