Problem of the Week: Consider the vector field F = (P,Q) = ( , -y 1. Show that OP he aQ Əx · 2. Show by direct computation that Sa F. dr, where C is the unit circle, is not zero.
Problem of the Week: Consider the vector field F = (P,Q) = ( , -y 1. Show that OP he aQ Əx · 2. Show by direct computation that Sa F. dr, where C is the unit circle, is not zero.
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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![Problem of the Week: Consider the vector field F = (P,Q) = ( , 727y² ) ·
1. Show that OP
dy
2. Show by direct computation that SF. dr, where C is the unit circle, is not zero.
3. Why does this not contradict Theorem 6 in the textbook?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e085104-fb6a-40f0-89db-c0353a727e3b%2F7ba01ecc-59cb-4ca0-935b-ba1f11313c59%2F3eob21m_processed.png&w=3840&q=75)
Transcribed Image Text:Problem of the Week: Consider the vector field F = (P,Q) = ( , 727y² ) ·
1. Show that OP
dy
2. Show by direct computation that SF. dr, where C is the unit circle, is not zero.
3. Why does this not contradict Theorem 6 in the textbook?
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