2.J. kle Consuder the Laplace equation 2 of + 2 of + 82 £ 20 2x2 Əya al show that f: R² -R defined by f(x,y) = h (x² +yq fcx,y) = In (x² + y²) is a solution of Laplace's equation. Solution of the Laplace equ by b) show that if of us a equation, the function F defuned by Fex, y) = f(x² +ya fl ว y x² + y² of the Laplace equation. us also a solution
2.J. kle Consuder the Laplace equation 2 of + 2 of + 82 £ 20 2x2 Əya al show that f: R² -R defined by f(x,y) = h (x² +yq fcx,y) = In (x² + y²) is a solution of Laplace's equation. Solution of the Laplace equ by b) show that if of us a equation, the function F defuned by Fex, y) = f(x² +ya fl ว y x² + y² of the Laplace equation. us also a solution
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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Transcribed Image Text:2.J. kle Consuder the Laplace equation
2 of + 2 of
+ 82 £ 20
2x2
Əya
al show that f: R² -R defined by f(x,y) = h (x² +yq
fcx,y) = In (x² + y²) is a solution of Laplace's
equation.
Solution
of the Laplace equ
by
b) show that if of us a
equation, the function F defuned by
Fex, y) = f(x² +ya
fl
ว
y
x² + y²
of the Laplace equation.
us also a solution
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