Find the integrating factor for the following equations that make them into exact equations. 1 Equation: dx + 7y dy = 0 y Integrating factor: help (formulas) Equation: dx e -7x-7y | dy = 0 Integrating factor: help (formulas) cos(x) Equation: y² 7) d 7x dx + dy = 0 y² Integrating factor: 2 help (formulas) Equation: (2y+ dx+(2y+x) dy = 0 Integrating factor: x help (formulas) Book: Section 1.8 of Notes on Diffy Qs

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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Find the integrating factor for the following equations that make them into exact equations.
1
Equation:
dx + 7y dy = 0
y
Integrating factor:
help (formulas)
Equation: dx e
-7x-7y
| dy = 0
Integrating factor:
help (formulas)
cos(x)
Equation:
y²
7) d
7x
dx +
dy = 0
y²
Integrating factor:
2
help (formulas)
Equation: (2y+ dx+(2y+x) dy = 0
Integrating factor:
x
help (formulas)
Book: Section 1.8 of Notes on Diffy Qs
Transcribed Image Text:Find the integrating factor for the following equations that make them into exact equations. 1 Equation: dx + 7y dy = 0 y Integrating factor: help (formulas) Equation: dx e -7x-7y | dy = 0 Integrating factor: help (formulas) cos(x) Equation: y² 7) d 7x dx + dy = 0 y² Integrating factor: 2 help (formulas) Equation: (2y+ dx+(2y+x) dy = 0 Integrating factor: x help (formulas) Book: Section 1.8 of Notes on Diffy Qs
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