My - Nx If = =Q, where Q 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)dx¸ Find an integrating factor and solve the given equation. (15x²y + 2xy + 5y³) 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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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My - Nx
N
If
=
Q, where Q is a function of x only, then the differential
equation
M + Ny = 0
has an integrating factor of the form
µ(x) = eS Q(x)dx¸
Find an integrating factor and solve the given equation.
(15x²y + 2xy + 5y³) dx + (x² + y²) dy = 0.
NOTE: Do not enter an arbitrary constant
An integrating factor is
μ(2)
=
The solution in implicit form is
= c, for any constant c.
Transcribed Image Text:My - Nx N If = Q, where Q is a function of x only, then the differential equation M + Ny = 0 has an integrating factor of the form µ(x) = eS Q(x)dx¸ Find an integrating factor and solve the given equation. (15x²y + 2xy + 5y³) dx + (x² + y²) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is μ(2) = The solution in implicit form is = c, for any constant c.
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