Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx
Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx
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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2. Please help me provide a solution to this.
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Correct.
Nx - My
If.
= R, where R is a function depending only on the quantity z = xy, then the differential equation
xM - yN
M + Ny = 0
O
has an integrating factor of the form
<
Find an integrating factor and solve the given equation.
μ(xy)
=
μ(xy) =
xy
1
xy
>
4x³y +
4x²y +
32²2 + 4y²³ =
3x²
4x³y +
2
c
· + 4y² = c
µ(xy) = xy
3x3
2
3x3
µ(xy) = xy, 4x²y + ³2 + 4y² = c
2
+ 4y³ = c
3x2
µ(xy) = xy, 4x³y + ³x² + 4y³ = c
2
M(2) = c/ Mc.
μ(z)
R(z)dz
(12x+²)+(4x²+¹2v) = 0
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed700295-ec60-4118-8238-6a41ed172ad1%2F41f75294-cb24-4e17-ab75-db19f0ced165%2F4m6i86e_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2 of 10
View Policies
Show Attempt History
Your Answer Correct Answer
Correct.
Nx - My
If.
= R, where R is a function depending only on the quantity z = xy, then the differential equation
xM - yN
M + Ny = 0
O
has an integrating factor of the form
<
Find an integrating factor and solve the given equation.
μ(xy)
=
μ(xy) =
xy
1
xy
>
4x³y +
4x²y +
32²2 + 4y²³ =
3x²
4x³y +
2
c
· + 4y² = c
µ(xy) = xy
3x3
2
3x3
µ(xy) = xy, 4x²y + ³2 + 4y² = c
2
+ 4y³ = c
3x2
µ(xy) = xy, 4x³y + ³x² + 4y³ = c
2
M(2) = c/ Mc.
μ(z)
R(z)dz
(12x+²)+(4x²+¹2v) = 0
dx
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