Solve the following differential equations properly. a. y(x2 + xy - 2y2)dx + x(3y2 - xy - x2)dy = 0 ; when x = 1 , y = 1 b. Find the equation of the curve whose slope at any point is equal to –(y + 1) / (x + 1) and which passes through the point (0, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Solve the following differential equations properly.

a. y(x+ xy - 2y2)dx + x(3y- xy - x2)dy = 0 ; when x = 1 , y = 1

b. Find the equation of the curve whose slope at any point is equal to –(y + 1) / (x + 1) and which passes through the point (0, 0)

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