EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 19, Problem 8P

A half-wave rectifier can be characterized by

C 1 = [ 1 π + 1 2 sin t 2 3 π cos 2 t 2 15 π cos 4 t 2 35 π cos 6 t ]

where C 1 is the amplitude of the wave. Plot the first four terms along with the summation.

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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
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