1 of x only, then = 0 (x) dx ne given equatio 2 21

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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NOTE: Do not enter an arbitrary constant
An integrating factor is
µ(x) =
The solution in implicit form is
c, for any constant c.
Transcribed Image Text:NOTE: Do not enter an arbitrary constant An integrating factor is µ(x) = The solution in implicit form is c, for any constant c.
My - N₂
N
If
=
Q, where is a function of x only, then the differential
equation
M + Ny = 0
has an integrating factor of the form
μ(x) = el Q(x) dx
eS
Find an integrating factor and solve the given equation.
(12x²y + 2xy + 4y³) dx + (x² + y²) dy = 0.
NOTE: Do not enter an arbitrary constant
Transcribed Image Text:My - N₂ N If = Q, where is a function of x only, then the differential equation M + Ny = 0 has an integrating factor of the form μ(x) = el Q(x) dx eS Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) dx + (x² + y²) dy = 0. NOTE: Do not enter an arbitrary constant
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