Compute the exterior derivative of the following differential forms on R": (a) x¹dx² ^ dx³. (b) e-fdf, where f = (x²)², (c) (-1)³x³dx¹ ^^ d^... ^ dxn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Compute the exterior derivative of the following differential forms on R":
(a) x¹dx² ^ dx³.
(b) e-fdf, where f = (x¹)²,
(c) 1(-1)³x³dx¹ ^^ d^^ dxn
Transcribed Image Text:1. Compute the exterior derivative of the following differential forms on R": (a) x¹dx² ^ dx³. (b) e-fdf, where f = (x¹)², (c) 1(-1)³x³dx¹ ^^ d^^ dxn
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For part (b), why is it equal to 0?

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