Find an integrating factor and solve the given equation. (15x + ²) + (5²+ 15y dy X dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

can you please teach me how to get this answer? Thanks

Correct.
N₂ - My
= 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
Find an integrating factor and solve the given equation.
O
µ(xy)
=
μ(xy) ==
μ(xy)
5x³y +
5x²y +
5x³y +
xy
μ(xy) = xy, 5x²y +
9x²
9x²
2
μ(xy) = xy, 5x³y +
9x³
2
9x3
2
9x²
2 + 5y³ = c
+ 5y³ = c
+ 5y² = c
+5y³ = c
+ 5y² = c
=√√"
μ(z) =
R(z)dz
(15x + ²) + (5x² + 15v) dx =
dy
dx
Transcribed Image Text:Correct. N₂ - My = 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 Find an integrating factor and solve the given equation. O µ(xy) = μ(xy) == μ(xy) 5x³y + 5x²y + 5x³y + xy μ(xy) = xy, 5x²y + 9x² 9x² 2 μ(xy) = xy, 5x³y + 9x³ 2 9x3 2 9x² 2 + 5y³ = c + 5y³ = c + 5y² = c +5y³ = c + 5y² = c =√√" μ(z) = R(z)dz (15x + ²) + (5x² + 15v) dx = dy dx
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,