NUMBER 17The question is tricky kindly follow the instruction wellTopic: Differential Equations (Engineering)1. Follow the rule correctly. 2. Solve the asked problem in a step-by-step procedure3. Kindly encircle the final answer. 4. Double-check your solutions because we need them for our review.Thank you so much for your kind consideration.Note: If it is true or false, kindly explain why it was true or vice versa. Identify three (3) lines in error on thesolution of the given differential equation.The absence of an integral sign is notconsidered an error. Please be extracareful in selecting correct answers.Points from incorrect answers will bededucted from points of correct answers.v² dx + x(x + x) dx = 0LINE 1let x= x=LINE 2 y² (yd2 + zdv) +LINE 3LINE 4LINE 5LINE GLINE 7LINE 8LINE 9LINE 10LINE ILINE 12LINE 13LINELINE Sdx = xd₂ + zdyx2 (√2 + x) dx = 0v² (vdz + zdv) + √²2 (2+1) dx = 0vd2 + zdv + (2²+1) dy = 0vd2 +(2+22) dy = 0dzd² + y = 0dy2² +22Inbut,e224221√²2+2 eC(2+2)Yzс2+2V² (V/X) = CVX+2v²x= Gx+2y=2² +2222+2) dz + dv² = 0²V(1/₂+21/2 In (2) - 1/2 In (2+2) + In[v) = CIn (2)In (2+2) + In (v²) = C=-А122+2+B2+2

Solution of the homogeneous differential equations

deducted from points of correct answers. LINE 1 LINE 2 LINE 3 LINE 4 LINE S LINE G LINE 7 LINE 8 LINE 9 LINE 10 LINE I LINE 12 LINE 13 LINE LINE S v² dx + x(x+x) dx = 0 let x= x= ₁ y² (yd2 + zdv) + xz (vz+x) dx = 0 v² (vdz + adv) + √²2 (2+1) dx = 0 vd2 +2dv + (2²+1) dy = 0 vd2 + (2²+22) dy = 0 dz + dy=0 2² +22 In - e but I - 2422 1 L 2² +22 Y₂) dz + dv =) 2+2 ½/₂ + = 0 2 1/2 In (2) - 1/2 In (2+2) + In(v) = C In (2) In (2+2) + In (v²) = C v² 2+2 v/x+2 v²x x + 2y с = C e 2+2 √² (V/X) = C dx = xd₂ + zdy (2+2) Yz 2 = G А 2 1₂ 2+2 + B 2+2

deducted from points of correct answers. LINE 1 LINE 2 LINE 3 LINE 4 LINE S LINE G LINE 7 LINE 8 LINE 9 LINE 10 LINE I LINE 12 LINE 13 LINE LINE S v² dx + x(x+x) dx = 0 let x= x= ₁ y² (yd2 + zdv) + xz (vz+x) dx = 0 v² (vdz + adv) + √²2 (2+1) dx = 0 vd2 +2dv + (2²+1) dy = 0 vd2 + (2²+22) dy = 0 dz + dy=0 2² +22 In - e but I - 2422 1 L 2² +22 Y₂) dz + dv =) 2+2 ½/₂ + = 0 2 1/2 In (2) - 1/2 In (2+2) + In(v) = C In (2) In (2+2) + In (v²) = C v² 2+2 v/x+2 v²x x + 2y с = C e 2+2 √² (V/X) = C dx = xd₂ + zdy (2+2) Yz 2 = G А 2 1₂ 2+2 + B 2+2

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

NUMBER 17

The question is tricky kindly follow the instruction well

Topic: Differential Equations (Engineering)
1. Follow the rule correctly.
2. Solve the asked problem in a step-by-step procedure
3. Kindly encircle the final answer.
4. Double-check your solutions because we need them for our review.

Thank you so much for your kind consideration.

Note: If it is true or false, kindly explain why it was true or vice versa.

Identify three (3) lines in error on the
solution of the given differential equation.
The absence of an integral sign is not
considered an error. Please be extra
careful in selecting correct answers.
Points from incorrect answers will be
deducted from points of correct answers.
v² dx + x(x + x) dx = 0
LINE 1
let x= x=
LINE 2 y² (yd2 + zdv) +
LINE 3
LINE 4
LINE 5
LINE G
LINE 7
LINE 8
LINE 9
LINE 10
LINE I
LINE 12
LINE 13
LINE
LINE S
dx = xd₂ + zdy
x2 (√2 + x) dx = 0
v² (vdz + zdv) + √²2 (2+1) dx = 0
vd2 + zdv + (2²+1) dy = 0
vd2 +(2+22) dy = 0
dz
d² + y = 0
dy
2² +22
In
but,
e
22422
1
√²
2+2 e
C
(2+2)
Yz
с
2+2
V² (V/X) = C
VX+2
v²x
= G
x+2y
=
2² +22
2
2+2) dz + dv² = 0²
V
(1/₂
+
2
1/2 In (2) - 1/2 In (2+2) + In[v) = C
In (2)
In (2+2) + In (v²) = C
=
-
А
12
2+2
+
B
2+2

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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