Answered: 24 Across: The ___________ of a BVP… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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#24 Across: The ___________ of a BVP quite often are proportional to the natural frequencies of the problem.

6. The author of a famous text on PDE.
7. In order for separation of variables to work, the PDE must be
10. A first-order equation of the form u, + fx = 0 is called a
equation.
12.
When we solve Laplace's equation in polar coordinates by sepa-
ration of variables, the ODE in r is named after this man.
13. The equation un =U is commonly called the
equation.
differential
14) The equation ux+u+u, - 0 is a
equation.
=
Duxx
vu, is by
16. A useful way to solve the equation u,
coordinates.
19.) The equation u,
=
Uxx is commonly called the
equation.
method.
22. The Crank-Nicolson method is an.
24.) The
of a BVP quite often are proportional to
the natural frequencies of the problem.
27. When solving Laplace's equation in spherical coordinates by sep-
aration of variables, the ODE in is called.
equation.
Bessel?
28.) The potential due to a point charge is called
function.
(29) The most basic idea behind the solution to linear problems is
33. A method of minimizing functionals by replacing the functions by
polynomials is due to
35) If the dependent variable is found explicitly as a function of the
independent variables of the problem, we have an.
solution.
38.
A famous mathematician/physicist responsible for the discovery of
calculus and some differential equations.
40.
The quantity that measures the difference between a function at
a point and its surrounding points.
41.
The basic vibrations of a membrane are called the
solutions.
-

PDE Crossword Puzzle
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nservati
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13
18
19
20
n
+
24
cit
²
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16
m
nge
ving
220
23,
PL
25
t
22ege dres
29
30
31
37
38
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am
mental
VIXIXINAXINIA
28
26
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8
mogeneous
132
H
34
35
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36

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