Which of the following is a general solution of the equation xdy-[xe^(-y/x)+y]dx=0. Use the substitution w=y/x differential

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which of the following is a
general solution of the differential
equation xdy-[xe^(-y/x)+y]dx=0.
Use the substitution w=y/x
A. e - In|x) = c
B. e/x - In 1x1
y/x
c. e
+ |n|x| = c
In
D. e=1/x + |n|x| = c
E. e^/g - In |x| =c
Transcribed Image Text:Which of the following is a general solution of the differential equation xdy-[xe^(-y/x)+y]dx=0. Use the substitution w=y/x A. e - In|x) = c B. e/x - In 1x1 y/x c. e + |n|x| = c In D. e=1/x + |n|x| = c E. e^/g - In |x| =c
Which of the following is a
particular solution of the
differential equation y'=(3x^2+4x-
4)/(2y-4) when y(1)=3.
A₁ y ² - 4y + x³ + 2x² - 4x + 2 = 0
B. y² - 4y + x²³ + 2x² - 4x - 36 = 0
c. y² - 4y -x³- 2x² + 4x - 36 = 0
3
D. y ² - 4y -x²³ - 2x² + 4x + 2 = 0
E. y ² - 4y + x³ + 2x² - 4x - 2 = 0
3
Transcribed Image Text:Which of the following is a particular solution of the differential equation y'=(3x^2+4x- 4)/(2y-4) when y(1)=3. A₁ y ² - 4y + x³ + 2x² - 4x + 2 = 0 B. y² - 4y + x²³ + 2x² - 4x - 36 = 0 c. y² - 4y -x³- 2x² + 4x - 36 = 0 3 D. y ² - 4y -x²³ - 2x² + 4x + 2 = 0 E. y ² - 4y + x³ + 2x² - 4x - 2 = 0 3
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