EBK NUMERICAL METHODS FOR ENGINEERS
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 150 at cell C7.

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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
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