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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

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
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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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 =∬s∂N∂x-∂M∂ydxdy

 

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