Find a vector, U, whose curl is the divergenceless vector V= (x cos, y cos, -2sin :) In other words, find U such that ▼ x Ü = V.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a vector, U, whose curl is the divergenceless vector
V = (x cos, y cos, -2 sin =)
In other words, find such that ▼ x Ū = V.
Note:
Ū
• Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful!
• If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use *. So
x*x=xx = x².
Note that this is not the same as x without a space; that will get read as an entirely different variable!
• If you need to enter a vector, enter an ordered list of components, so for A you can enter either
à = (A₂, Ay, A₂) = {Az, Ay, A₂}.
Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g.
X
(2A, 2A, 2A₂).
+
X
OC
I
Transcribed Image Text:Find a vector, U, whose curl is the divergenceless vector V = (x cos, y cos, -2 sin =) In other words, find such that ▼ x Ū = V. Note: Ū • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful! • If the answer is a scalar, you can just type it in the box (using the Calcpad if you like, or using / for fractions, ^ for exponents, shift and - for subscripts, etc.) For multiplication, you can either leave a space, or use *. So x*x=xx = x². Note that this is not the same as x without a space; that will get read as an entirely different variable! • If you need to enter a vector, enter an ordered list of components, so for A you can enter either à = (A₂, Ay, A₂) = {Az, Ay, A₂}. Note that the system isn't great with multiplying through by overall factors, so it's better not to write e.g. X (2A, 2A, 2A₂). + X OC I
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