Find the general solution of x'y + 1) dx + y´(x – 1) dy = 0 2y + 2ln[(y + 1)/(x – 1)] = C 2y + 2ln[(y + 1)/(x - 1)] = C x? А. y? + 2x 2y + x? + y? 2x С. 2ln[(y + 1)/(x - 1)] = C 2x + 2y + %3D x? + y? В. x? + y? + 2x D. 2ln[(y + 1)/(x - 1)] = C

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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Solve the following Differential Equation using any of the following method: -Linear Differential Equations -Bernoulli's Equation -Integrating Factors by Inspection. Select the letter of the correct answer. (Show complete solution)
Find the general solution of x´(y + 1) dx + y´(x – 1) dy = 0
2у +
2ln[(y + 1)/(x – 1)] = C
2y +
2ln[(y + 1)/(x - 1)] = C
x2
А.
2y +
С.
2ln[(y + 1)/(x - 1)] = C
y? + 2x
x? + y?
2x
%3D
x2 + y?
В.
2x + 2y +
x2 + y? + 2x
D.
2ln[(y + 1)/(x – 1)] = C
Transcribed Image Text:Find the general solution of x´(y + 1) dx + y´(x – 1) dy = 0 2у + 2ln[(y + 1)/(x – 1)] = C 2y + 2ln[(y + 1)/(x - 1)] = C x2 А. 2y + С. 2ln[(y + 1)/(x - 1)] = C y? + 2x x? + y? 2x %3D x2 + y? В. 2x + 2y + x2 + y? + 2x D. 2ln[(y + 1)/(x – 1)] = C
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