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A. Test each of the following equations for exactness and solve the equation. The equations that are not exact may, of course, be solved by methods discussed in the preceding module. 1. (x + 2y)dx + (2x + y)dy = 0 2. (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0

A. Test each of the following equations for exactness and solve the equation. The equations that are not exact may, of course, be solved by methods discussed in the preceding module. 1. (x + 2y)dx + (2x + y)dy = 0 2. (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. Test each of the following equations for exactness and solve the equation. The equations that are not exact may, of course, be solved by methods discussed in the preceding module. 1. (x + 2y)dx + (2x + y)dy = 0 2. (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0
Transcribed Image Text:A. Test each of the following equations for exactness and solve the equation. The equations that are not exact may, of course, be solved by methods discussed in the preceding module. 1. (x + 2y)dx + (2x + y)dy = 0 2. (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0
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