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Let -(у da - z dy) (x² + y²)4 be a one-form on U = R² \ {(0, 0)}, and ø : V → U be the smooth function $(r, t) = (r cos t, r sin t) with V = {(r, t) E R² | r + 0}. Find d(ø*w). d(6*w) dr A dt || ||

Let -(у da - z dy) (x² + y²)4 be a one-form on U = R² \ {(0, 0)}, and ø : V → U be the smooth function $(r, t) = (r cos t, r sin t) with V = {(r, t) E R² | r + 0}. Find d(ø*w). d(6*w) dr A dt || ||

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 (y dx (x² + y²)ª x dy) be a one-form on U = R² \ {(0,0)}, and ø :V → U be the smooth function $(r, t) = (r cos t,r sin t) with V = {(r, t) E R² | r + 0}. Find d(ø*w). d(ø*w) =| dr A dt
Transcribed Image Text:Let (y dx (x² + y²)ª x dy) be a one-form on U = R² \ {(0,0)}, and ø :V → U be the smooth function $(r, t) = (r cos t,r sin t) with V = {(r, t) E R² | r + 0}. Find d(ø*w). d(ø*w) =| dr A dt
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