Identify four (4) lines of error on the solution of the given differential equaiton. the absence of an Integral sign is not considered an error.

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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Identify four (4) lines of error on the solution of the given differential equaiton. the absence of an Integral sign is not considered an error.

(x+ 2y -1) dx + (ax +y+ ) dy - o
メ=u-1 dx =D du
yov-, dy e dy
LINE 1
%3D
LINE 2
(u-1+ 2Y- 2-1) du + (2-2+v-1 +) dy =0
LINE 4 (u+ 2 u + (2u + v)み =0
let y= 2v
du = adv + ydz
LINE S
LINE 6
(2v +2y)(zd+ vd2) + (2ZY +y)dx =0
(2+2) (zdv + vdz)+ (22T)dy = 0
(2+2) zdv + (z+2) vd2 + (22+1)dN 0
(22 + 22)d + (22+1)dy + (2+2) vd230
( t2ま十1りv+ (2+2)ydz = 0
dz = 0
LINE 7
LINE &
LINIS 9
LINE ID
LINE
%3D
LINE 12
22+42 +1
LINE B In () + 2 In (22+42 +1) = C
LIAE 14 In (ve) + im (2²+ 42ti) =C
In Lv(22 +42 +10]- 'C
In Lv Cz2+47+1)]=C
LINE IS
LINE L
y2 (z+42 +1)=C
V2 (u/2 + 4u/V +1) = C
u2 + 4uy +y2
LINE 7
LINE 18
LINE 19
LINE 20
LINE 21
(メ+)と+ 4(x+りyー)+ (yー)2=C
Transcribed Image Text:(x+ 2y -1) dx + (ax +y+ ) dy - o メ=u-1 dx =D du yov-, dy e dy LINE 1 %3D LINE 2 (u-1+ 2Y- 2-1) du + (2-2+v-1 +) dy =0 LINE 4 (u+ 2 u + (2u + v)み =0 let y= 2v du = adv + ydz LINE S LINE 6 (2v +2y)(zd+ vd2) + (2ZY +y)dx =0 (2+2) (zdv + vdz)+ (22T)dy = 0 (2+2) zdv + (z+2) vd2 + (22+1)dN 0 (22 + 22)d + (22+1)dy + (2+2) vd230 ( t2ま十1りv+ (2+2)ydz = 0 dz = 0 LINE 7 LINE & LINIS 9 LINE ID LINE %3D LINE 12 22+42 +1 LINE B In () + 2 In (22+42 +1) = C LIAE 14 In (ve) + im (2²+ 42ti) =C In Lv(22 +42 +10]- 'C In Lv Cz2+47+1)]=C LINE IS LINE L y2 (z+42 +1)=C V2 (u/2 + 4u/V +1) = C u2 + 4uy +y2 LINE 7 LINE 18 LINE 19 LINE 20 LINE 21 (メ+)と+ 4(x+りyー)+ (yー)2=C
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