The solution of the differential equation (xy – y²)dx – (x² +y²)dy = 0 is : A) 2 In + 1|- tn -; =-Inx +e B) In + 1| – in - in|--Inx +c C) In ( + 1)"* – tn | -=-Inx + c D) 2 In - 1|- in + 2|- In=-Inx +c E) In + 2| – tn -; = tnx + c F)y=n(x2+ 1) + In v+1 + 이 = -Inx +c Inx +c G) In + 5|– in =-Inx +c H) y = (x² + 1)[ In vx² + 1 + c] y
The solution of the differential equation (xy – y²)dx – (x² +y²)dy = 0 is : A) 2 In + 1|- tn -; =-Inx +e B) In + 1| – in - in|--Inx +c C) In ( + 1)"* – tn | -=-Inx + c D) 2 In - 1|- in + 2|- In=-Inx +c E) In + 2| – tn -; = tnx + c F)y=n(x2+ 1) + In v+1 + 이 = -Inx +c Inx +c G) In + 5|– in =-Inx +c H) y = (x² + 1)[ In vx² + 1 + c] y
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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![The solution of the differential equation
(xy – y²)dx – (x² + y²)dy = 0 is :
A) 2 In + 1|– in 2|-=-Inx +c
B) In + 1| – in - inE = - Inx + c
C) In ( + 1)" – In ---Inx + c
D) 2 In – 1| – tn + 2| – In = -Inx +c
E) In + 2| – in -; = tnx + c
F) y = tn(x* + 1) + [; in Vz³ +1+c]
G) In + 5|- in-= -Inx + c
H) y = (x² + 1)[ Invx² + 1 + c]
y
y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1ea6119-0db5-4d9f-a248-d564c40c6e3b%2F100b1091-eb66-4d72-b1e2-3329ba7d6948%2F1ftou6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The solution of the differential equation
(xy – y²)dx – (x² + y²)dy = 0 is :
A) 2 In + 1|– in 2|-=-Inx +c
B) In + 1| – in - inE = - Inx + c
C) In ( + 1)" – In ---Inx + c
D) 2 In – 1| – tn + 2| – In = -Inx +c
E) In + 2| – in -; = tnx + c
F) y = tn(x* + 1) + [; in Vz³ +1+c]
G) In + 5|- in-= -Inx + c
H) y = (x² + 1)[ Invx² + 1 + c]
y
y
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