If My - Nz Q, where is a function of x only, then the differential N equation M + Ny = 0 has an integrating factor of the form μ(x) = el Q(x)dz Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) 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.
If My - Nz Q, where is a function of x only, then the differential N equation M + Ny = 0 has an integrating factor of the form μ(x) = el Q(x)dz Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) 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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![If My - Nz
Q, where is a function of x only, then the differential
N
equation
M + Ny = 0
has an integrating factor of the form
μ(x) = el Q(x)dz
Find an integrating factor and solve the given equation.
(12x²y + 2xy + 4y³) 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0ed45e-46bb-48c7-a233-12c754c81c45%2Ff0c5787c-880c-4e79-a673-30d75f4e3d4e%2Fwn47peq_processed.png&w=3840&q=75)
Transcribed Image Text:If My - Nz
Q, where is a function of x only, then the differential
N
equation
M + Ny = 0
has an integrating factor of the form
μ(x) = el Q(x)dz
Find an integrating factor and solve the given equation.
(12x²y + 2xy + 4y³) 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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