Let H be the segment of the hyperbola x-y°= | Connecting (1,0) to (2, J3). Evaluate the line, integral %3D Suly dx t x dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let H be the segment of the hyperbola xy°= |
Connecting (1,0) to (2, J3). Evaluate the line inegral.
Suly
+) dx + x dy
メ
Transcribed Image Text:Let H be the segment of the hyperbola xy°= | Connecting (1,0) to (2, J3). Evaluate the line inegral. Suly +) dx + x dy メ
Expert Solution
Step 1

Given 

H be the segment of hyperbola x2-y2=1 connecting the points (1,0) to (2,3

we have to evaluate the integral

Hy+1xdx+xdy

Now by using Green's theorem we know that

cMdx+Ndy =sNx-Mydxdy

 

steps

Step by step

Solved in 2 steps

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,