(2.x + y)dx + (x – 2y)dy = 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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Problems:
Solve the following differential equations:
8- (1+ y²)dx+(2xy + y² +1)dy = 0
x + y
9- (e* + In y)dx + (*"²)dy = 0
y
1
10- x(1+e')dx +-(x² + y²)e"dy = 0
2
3- (2x+ y)dx +(x– 2y)dy = 0
4- x dy = (y + x cos (-))dx
5- x(In y – In x)dy = y(1+ln y – In.x)dx
x dy + (2y – x² – 1)dx = 0
7- cos y dx + (x siny - cos²y)dy = 0
6-
Transcribed Image Text:Problems: Solve the following differential equations: 8- (1+ y²)dx+(2xy + y² +1)dy = 0 x + y 9- (e* + In y)dx + (*"²)dy = 0 y 1 10- x(1+e')dx +-(x² + y²)e"dy = 0 2 3- (2x+ y)dx +(x– 2y)dy = 0 4- x dy = (y + x cos (-))dx 5- x(In y – In x)dy = y(1+ln y – In.x)dx x dy + (2y – x² – 1)dx = 0 7- cos y dx + (x siny - cos²y)dy = 0 6-
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