Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 4, Problem 11P

Recall that the velocity of the falling parachutist can be computed by [Eq. (1.10)],

v ( t ) = g m c ( 1 e ( c / m ) t )

Use a first-order error analysis to estimate the error of v at t = 6 , if g = 9.81  and  m = 50 but  c = 12 .5 ± 1 .5 .

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Lemma:- Let x = AX, Y° = By where A = B= 0 Bo then the linear system X = AX Y = BY are Linearly equivalent iff B=α.
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