(x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du + (2u-2+ v-1+) dy =0 LINE 4 (u+ 2x) du + (2u + v) dy = 0 let u = 2y du こ 2dy + yd2 レINE S LINE 6 LINE 7 (ZY + 2Y)(2dv + vd2) + (22Y +y)dx=O (2+2) + vdz)+ (22t) dy ='0 (2+2) zdv + (z+2) vd2 + (22 +1)dy co (22+22)d + (22+1)d + (2+ 2)vd2=0 (z²+ 2Z t 1) dv + (Z+2)rdz=0 dz LINE 8 LINE 9 LINE 1D %3D レINE | LINE 12 三 十 22+42+1 In (v) + 2 In (22+42+1) = c LINE 13 LINE 4 In (v2) + In (2²+42ti) =C In Lv (22 +42 +D]= 'C In Lv?C2?+42+り]。 LINE IS LINE Ib y2 (z²+47+!)=C V2 (u²/z + 4u/V +1) = C u2 + 4uy t yZ LINE 7 レNE B LINE 19 ニ C レNE 20 42 + 4uY + x2=C (メ+)と+ 4Cx+り(リー)+(yーリ2=C レINE 21
(x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du + (2u-2+ v-1+) dy =0 LINE 4 (u+ 2x) du + (2u + v) dy = 0 let u = 2y du こ 2dy + yd2 レINE S LINE 6 LINE 7 (ZY + 2Y)(2dv + vd2) + (22Y +y)dx=O (2+2) + vdz)+ (22t) dy ='0 (2+2) zdv + (z+2) vd2 + (22 +1)dy co (22+22)d + (22+1)d + (2+ 2)vd2=0 (z²+ 2Z t 1) dv + (Z+2)rdz=0 dz LINE 8 LINE 9 LINE 1D %3D レINE | LINE 12 三 十 22+42+1 In (v) + 2 In (22+42+1) = c LINE 13 LINE 4 In (v2) + In (2²+42ti) =C In Lv (22 +42 +D]= 'C In Lv?C2?+42+り]。 LINE IS LINE Ib y2 (z²+47+!)=C V2 (u²/z + 4u/V +1) = C u2 + 4uy t yZ LINE 7 レNE B LINE 19 ニ C レNE 20 42 + 4uY + x2=C (メ+)と+ 4Cx+り(リー)+(yーリ2=C レINE 21
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(x2y-)水 + (2x +y+) dy~ 0
let メーuー1, dx = du
yov-l, dy ody
LINE 1
%3D
LINE 2
(4-1+ 2y - 2-1) du t (2u-2+ v -I+1) dy =0
(u+ 2x) du + (2u + v) dy
レINE 3
LINE 4
ミO
let u= 2y
du こ 2dy + yd2
レINE S
LINE 6
(ZY + 2Y)(zdvt ydz) + (22y +y)dx =0
LINE 8 (2+2)( zdv + vdz) + (22 t1) dy = 0
LINE 7
○=Xp(人+人そ2
LINE 9
(22+ 2え)d +(22+1)d+ (2+2) vd2= 0
Qコ入や(1+ぞて +P^(て+そ) + Pモ (て十そ)
LINE 10
%3D
(2²+ 27 t 1) av + (2+2)ydz =0
2+2-dz
22+42 +
In (x) + Y2 In (22t 42+1) = C
LIANE 14 In (vZ) + In (2²+ 4z+) =C
In Lv (22 +42 +1]-'C
LINE II
LINE 12
LINE 13
LINE IS
LINE Ib
ye (z-+42+)こC
v2 (Wん + 4u +)=C
u2 + 4uy t yZ
LINE 7
LINE 18
LINE 19
v(
42 + 4uY+x2=C
(メ)2+4[xtり(リー)+ (yー)2-C
レINE 20
LINE 21
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F552ca030-e2ac-4b73-ac44-7aa0976ac092%2Fafce04ab-e10c-4d68-baed-dbf1ffbe6a3c%2Fwq4br7m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(x2y-)水 + (2x +y+) dy~ 0
let メーuー1, dx = du
yov-l, dy ody
LINE 1
%3D
LINE 2
(4-1+ 2y - 2-1) du t (2u-2+ v -I+1) dy =0
(u+ 2x) du + (2u + v) dy
レINE 3
LINE 4
ミO
let u= 2y
du こ 2dy + yd2
レINE S
LINE 6
(ZY + 2Y)(zdvt ydz) + (22y +y)dx =0
LINE 8 (2+2)( zdv + vdz) + (22 t1) dy = 0
LINE 7
○=Xp(人+人そ2
LINE 9
(22+ 2え)d +(22+1)d+ (2+2) vd2= 0
Qコ入や(1+ぞて +P^(て+そ) + Pモ (て十そ)
LINE 10
%3D
(2²+ 27 t 1) av + (2+2)ydz =0
2+2-dz
22+42 +
In (x) + Y2 In (22t 42+1) = C
LIANE 14 In (vZ) + In (2²+ 4z+) =C
In Lv (22 +42 +1]-'C
LINE II
LINE 12
LINE 13
LINE IS
LINE Ib
ye (z-+42+)こC
v2 (Wん + 4u +)=C
u2 + 4uy t yZ
LINE 7
LINE 18
LINE 19
v(
42 + 4uY+x2=C
(メ)2+4[xtり(リー)+ (yー)2-C
レINE 20
LINE 21
%3D
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