Let - (y dx – x dy) W = (x² + y²)ª be a one-form on U =R² \ {(0,0)}, and o : V → U be the smooth function $(r,t) = (r cost, r sint) with V = {(r, t) E R² | r + 0}. Find d(o*w). d(ow) =| dr A dt 2.
Let - (y dx – x dy) W = (x² + y²)ª be a one-form on U =R² \ {(0,0)}, and o : V → U be the smooth function $(r,t) = (r cost, r sint) with V = {(r, t) E R² | r + 0}. Find d(o*w). d(ow) =| dr A dt 2.
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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Transcribed Image Text:Let
2.
(y dx – x dy)
(x2 + y²)4
be a one-form on U = R? \ {(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(d*w) =|
dr A dt
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