EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 18, Problem 19P
Use the program you developed in Prob. 18.17 to solve Probs. 18.1 through 18.3.
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In Problems 1-16 the indicated function y₁(x) is a solution of the
given differential equation. Use reduction of order or formula (5), as
instructed, to find a second solution y2(x).
1. y" - 4y' + 4y = 0; yı
=
e2x
Chapter 18 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 18 - 18.1 Estimate the common logarithm of 10 using...Ch. 18 - 18.2 Fit a second-order Newton’s interpolating...Ch. 18 - 18.3 Fit a third-order Newton’s interpolating...Ch. 18 - Repeat Probs. 18.1 through 18.3 using the Lagrange...Ch. 18 - 18.5 Given these...Ch. 18 - 18.6 Given these data
x 1 2 3 5 7 8
...Ch. 18 - Repeat Prob. 18.6 using Lagrange polynomials of...Ch. 18 - 18.8 The following data come from a table that was...Ch. 18 - 18.9 Use Newton’s interpolating polynomial to...Ch. 18 - Use Newtons interpolating polynomial to determine...
Ch. 18 - 18.11 Employ inverse interpolation using a cubic...Ch. 18 - 18.12 Employ inverse interpolation to determine...Ch. 18 - 18.13 Develop quadratic splines for the first five...Ch. 18 - 18.14 Develop cubic splines for the data in Prob....Ch. 18 - Determine the coefficients of the parabola that...Ch. 18 - Determine the coefficients of the cubic equation...Ch. 18 - 18.17 Develop, debug, and test a program in either...Ch. 18 - 18.18 Test the program you developed in Prob....Ch. 18 - 18.19 Use the program you developed in Prob. 18.17...Ch. 18 - Use the program you developed in Prob. 18.17 to...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - 18.22 A useful application of Lagrange...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - Use the software developed in Prob. 18.23 to fit...Ch. 18 - Use the portion of the given steam table for...Ch. 18 - The following is the built-in humps function that...Ch. 18 - 18.28 The following data define the sea-level...Ch. 18 - 18.29 Generate eight equally-spaced points from...Ch. 18 - 18.30 Temperatures are measured at various points...
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- - Problem 3: For a short time, the 300-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s with r = 15 m. If the track descends d = 6 m for every full revolution, 0 = 2π rad, determine the magnitudes of the components of force which the track exerts on the car in the r, 0, and z directions. Neglect the size of the car. Bonus: Develop a MATLAB program to solve for this problem.arrow_forwardpls helparrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forward
- Problem 2: The 1000 kg car at rest slides down from A along the track without friction. Determine: the force exerted by the track on the car at point B, and the minimum safe value of the radius of curvature at point C. 5 m + C T=6m 15 m Barrow_forwardProblem 1: In a softball game, Peter throws a ball with an initial velocity Vo 120 km/h at an angle a. At Point B, the height of the ball is 0.7 m. determine (a) the angle a, (b) the angle 0 of the velocity when the ball reaches at Point B. Pr the tra rac 0.7 m B 14 m 0.58 marrow_forwardNot use ai pleasearrow_forward
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