The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4 2²4 = 0, describes potentials and steady-state temperature distributions in a plane. Show that the following function satisfies the two-dimensional Laplace equation. ax² ay²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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The two-dimensional Laplace equation,
?х
f(x,y)= -9x - 6y +4
2²f
- 2
ах
Find
a²f
ax²
a²fa²f
+
= 0, describes potentials and steady-state temperature distributions in a plane. Show that the following function satisfies the two-dimensional Laplace equation.
2
2
for the given function.
ду
Transcribed Image Text:The two-dimensional Laplace equation, ?х f(x,y)= -9x - 6y +4 2²f - 2 ах Find a²f ax² a²fa²f + = 0, describes potentials and steady-state temperature distributions in a plane. Show that the following function satisfies the two-dimensional Laplace equation. 2 2 for the given function. ду
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