My - Nx If = =Q, where is a function of x only, then the differentia N equation M + Ny = 0 has an integrating factor of the form μ(x) = el Q(x) dx Find an integrating factor and solve the given equation. (6x²y + 2xy + 2y³) dx + (x² + y²) dy = 0. 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 - Nx If = =Q, where is a function of x only, then the differentia N equation M + Ny = 0 has an integrating factor of the form μ(x) = el Q(x) dx Find an integrating factor and solve the given equation. (6x²y + 2xy + 2y³) dx + (x² + y²) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is μ(x): The solution in implicit form is = c, for any constant c. =
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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
Transcribed Image Text:My - Nx
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
Find an integrating factor and solve the given equation.
(6x²y + 2xy + 2y³) dx + (x² + y²) dy = 0.
NOTE: Do not enter an arbitrary constant
An integrating factor is
μ(α)
=
The solution in implicit form is
= c, for any constant c.
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