N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential equation xM - YN M + Ny' = 0 has an integrating factor of the form SR µ(z) = Find an integrating factor and solve the given equation. dy (18x + 7) + (6x² + 18x) dx = 0 y μ(xy) 1, 6x³y + 7x3 + 6y³ = c 2 R(z)dz
N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential equation xM - YN M + Ny' = 0 has an integrating factor of the form SR µ(z) = Find an integrating factor and solve the given equation. dy (18x + 7) + (6x² + 18x) dx = 0 y μ(xy) 1, 6x³y + 7x3 + 6y³ = c 2 R(z)dz
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...
Related questions
Question
![1
μ(xy)
6x³y +
xy
μ(xy) = xy,
6x³y +
1
μ(xy) =
6x³y +
xy
μ(xy) = xy, 6x²y +
1
μ(xy)
6x²y +
ху
=
7x³
2
+ 6y³
= C
+ 6y³ : = C
+ 6y³
= C
+ 6y²:
= C
+ 6y² =
7x²
2
7x²
2
7x³
2
7x²
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef0643ce-9398-4953-be86-6ed6d5307bb0%2F7a4fd0cb-398b-4f53-9a58-23bda0c2ee85%2F3lkhzgd_processed.png&w=3840&q=75)
Transcribed Image Text:1
μ(xy)
6x³y +
xy
μ(xy) = xy,
6x³y +
1
μ(xy) =
6x³y +
xy
μ(xy) = xy, 6x²y +
1
μ(xy)
6x²y +
ху
=
7x³
2
+ 6y³
= C
+ 6y³ : = C
+ 6y³
= C
+ 6y²:
= C
+ 6y² =
7x²
2
7x²
2
7x³
2
7x²
2
![N. – My
If
= R, where R is a function depending only on the quantity z = xy, then the differential equation
xM - yN
M + Ny' = 0
has an integrating factor of the form
R(z)dz
μ(3) = e.
Find an integrating factor and solve the given equation.
18y dy
(18x + ²) + (₁x² + 1) = 0
y
y
dx
1
7x³
μ(xy) —, 6x³y +
+ 6y³ = C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef0643ce-9398-4953-be86-6ed6d5307bb0%2F7a4fd0cb-398b-4f53-9a58-23bda0c2ee85%2Fwp7447a_processed.png&w=3840&q=75)
Transcribed Image Text:N. – My
If
= R, where R is a function depending only on the quantity z = xy, then the differential equation
xM - yN
M + Ny' = 0
has an integrating factor of the form
R(z)dz
μ(3) = e.
Find an integrating factor and solve the given equation.
18y dy
(18x + ²) + (₁x² + 1) = 0
y
y
dx
1
7x³
μ(xy) —, 6x³y +
+ 6y³ = C
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