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
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
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dd6a06c-e682-4e0a-8d9a-15e2783901e0%2Fd74ebd88-f067-4765-81d9-d7785edea8f6%2F46aplsp_processed.png&w=3840&q=75)
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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