Given that And R= 1= {(x₁y): 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that
And
Then
I=
R=
= I=
{(2,4): 0<x<1, 0≤ysı}
= $$ 142²/ An
I=
S' S'
O
√²
0
1+ x² dx dy
I+y"
2
1+ y²
da
dy
=
['(1+z²) dx
3
⇒ x = [tan' (x)] ! [ 2 + = ² ),
⇒I= [tan'(1) - tan'(0)]. [1+ = -0-0]
3
-→) I = I · (4/²) = π/
T
klm
Transcribed Image Text:Given that And Then I= R= = I= {(2,4): 0<x<1, 0≤ysı} = $$ 142²/ An I= S' S' O √² 0 1+ x² dx dy I+y" 2 1+ y² da dy = ['(1+z²) dx 3 ⇒ x = [tan' (x)] ! [ 2 + = ² ), ⇒I= [tan'(1) - tan'(0)]. [1+ = -0-0] 3 -→) I = I · (4/²) = π/ T klm
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