1-14 ODES. INTEGRATING FACTORS Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. 1. 2xy dx + x² dy = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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PROBLEM SET 1.4
1-14
ODES. INTEGRATING FACTORS
Test for exactness. If exact, solve. If not, use an integrating
factor as given or obtained by inspection or by the theorems
in the text. Also, if an initial condition is given, find the
corresponding particular solution.
1. 2xy dx + x² dy = 0
6. 3(y + 1) dx = 2x dy, (y + 1)x¯
Transcribed Image Text:PROBLEM SET 1.4 1-14 ODES. INTEGRATING FACTORS Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. 1. 2xy dx + x² dy = 0 6. 3(y + 1) dx = 2x dy, (y + 1)x¯
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