Solve the following equations: a) y√(1-x²)dy + x√(1-y²)dx=0 x(2 ln x+2) dy = b) dx sin y+y cos y x²+y²-1 y dy = 0 c) + x dx 2(x² + y²)+1

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Н.W
1. Solve the following equations:
a) y (1-x*)dy +x(1- y²)dx-0
x(2 In x+2)
dy
b)
dx
sin y+y cos y
x2+y2-1
y dy
c)
x dx
= 0
2(x2+y2)+1
2. Solve the following equation (x2 + y?)dy = 2xydx
3. Solve the following equations:
a) (x2 - 4xy – 2y²)dx + (y2 - 4xy - 2x?) dy = 0
b) [y (1+:)-
+ cos y] dx + (x + logx - x sin y)dy = 0
Transcribed Image Text:Н.W 1. Solve the following equations: a) y (1-x*)dy +x(1- y²)dx-0 x(2 In x+2) dy b) dx sin y+y cos y x2+y2-1 y dy c) x dx = 0 2(x2+y2)+1 2. Solve the following equation (x2 + y?)dy = 2xydx 3. Solve the following equations: a) (x2 - 4xy – 2y²)dx + (y2 - 4xy - 2x?) dy = 0 b) [y (1+:)- + cos y] dx + (x + logx - x sin y)dy = 0
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