(h) Ã(x, y, z) = yɛ, – xë, (i) Ã(x, y, z) = ex + ey x² + y?
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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Topic Video
Question
Please solve only (h) and (i).
![5. Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given
vectors in two other coordinate systems outside the coordinate system in which they are
expressed. For example, if the vector is given for Cartesian coordinates, convert it to
cylindrical and spherical coordinates.
(a) Ã(x, y, z) = ē,
(b) Ã(x, y, z) = ēy
(c) Ã(x, y, 2) = ē,
(d) Ã(p, ¢, z) = ēp
(e) Ã(p, ø, 2) = ēg
(f) Ã(r, 0, 4) = ē,
(g) Ã(r, 0, 6) = ẽo
(h)Ã(x, y, z) = yë, – xẽ,
ex + Ey
x² + y?
(i) Ã(x, y, 2) =
- yē, + xẽ,
x² + y²
1
1
(j) Ã(x, y, z)
(k) Ã(p, 6, 2) = =E,
(1) Ã(r, 0, 6) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028cc30c-0666-4843-a02b-c768278bfe64%2F5bcdccad-0332-4da5-9916-43cd8566caf2%2Fntddhug_processed.png&w=3840&q=75)
Transcribed Image Text:5. Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given
vectors in two other coordinate systems outside the coordinate system in which they are
expressed. For example, if the vector is given for Cartesian coordinates, convert it to
cylindrical and spherical coordinates.
(a) Ã(x, y, z) = ē,
(b) Ã(x, y, z) = ēy
(c) Ã(x, y, 2) = ē,
(d) Ã(p, ¢, z) = ēp
(e) Ã(p, ø, 2) = ēg
(f) Ã(r, 0, 4) = ē,
(g) Ã(r, 0, 6) = ẽo
(h)Ã(x, y, z) = yë, – xẽ,
ex + Ey
x² + y?
(i) Ã(x, y, 2) =
- yē, + xẽ,
x² + y²
1
1
(j) Ã(x, y, z)
(k) Ã(p, 6, 2) = =E,
(1) Ã(r, 0, 6) = 0
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