EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 31, Problem 7P
Use Excel to perform the same computation as in Fig.31.14, but insulate the right-hand edge and add a heat sink of
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(a) Find a second-order homogeneous linear ODE for which the given functions are
solutions. (b) Show linear independence by the Wronskian. (c) Solve the initial value
problem.
a. cos(5x), sin(5x), y(0) = 3, y'(0) = −5
b. e-2.5x cos(0.3x), e-2.5x sin(0.3x), y(0) = 3, y'(0) = -7.5
Solve the IVP.
a. y" 16y 17e* ;
=
y(0) = 6,
y'(0) = -2
b. (D² + 41)y = sin(t) + ½ sin(3t) + sin(t) ; y(0) = 0, y'(0) :
=
35
31
Find the general solution.
a. y' 5y = 3ex - 2x + 1
-
b. y" +4y' + 4y = e¯*cos(x)
c. (D² + I)y = cos(wt), w² # 1
Chapter 31 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 31 - 31.1 Repeat Example 31.1, but for and a uniform...Ch. 31 - Repeat Example 31.2, but for boundary conditions...Ch. 31 - Apply the results of Prob. 31.2 to compute the...Ch. 31 - Use Galerkins method to develop an element...Ch. 31 - Prob. 5PCh. 31 - 31.6 Develop a user-friendly program to model the...Ch. 31 - 31.7 Use Excel to perform the same computation as...Ch. 31 - Use MATLAB or Mathcad to develop a contour plot...Ch. 31 - 31.9 Use Excel to model the temperature...Ch. 31 - 31.10 Use MATLAB or Mathcad to develop a contour...
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