Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy – x) dx = (x²y² – x² + y² – 1) dy c. (dx/(x²+x)) + (dy/(y²+y)) = 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the general solutions for these differential equations:

a. xy’ (2y - 1) = y (x - 1)

b. (xy – x) dx = (x²y² – x² + y² – 1) dy

c. (dx/(x²+x)) + (dy/(y²+y)) = 0

 

xy' (2y - 1) = y (x - 1)
(xy - x) dx = x²y²-x² + y² - 1) dy
dx
dy
+
= 0
x²+x
y²+y
Transcribed Image Text:xy' (2y - 1) = y (x - 1) (xy - x) dx = x²y²-x² + y² - 1) dy dx dy + = 0 x²+x y²+y
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