b) Simplify TV²R and combine your result with that in Part(a) to show tha V² f – 100r² f = kf where k is a constant Find the value of the constant k.

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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b) Simplify TV²R and combine your result with that in Part(a) to show that
V² ƒ – 100r² f = kf
where k is a constant
Find the value of the constant k.
Enter k: -125
The correct answer is: -120
Transcribed Image Text:b) Simplify TV²R and combine your result with that in Part(a) to show that V² ƒ – 100r² f = kf where k is a constant Find the value of the constant k. Enter k: -125 The correct answer is: -120
Consider the function
f(r, 0) = R(r)T(0)
where
R(r) = rše-5r?
and T(0) = sin(50)
Let V² be the 2D Laplacian operator.
a) Show that
RV²T = RT
where c is a constant.
Enter the value of c -25
The correct answer is: -25
Transcribed Image Text:Consider the function f(r, 0) = R(r)T(0) where R(r) = rše-5r? and T(0) = sin(50) Let V² be the 2D Laplacian operator. a) Show that RV²T = RT where c is a constant. Enter the value of c -25 The correct answer is: -25
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