My - N 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. (9x²y + 2xy + 3y³) 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
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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.
(9x²y + 2xy + 3y³) 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.
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. (9x²y + 2xy + 3y³) 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.
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