approximate va аccu

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Write (do not derive) the asymptotic approximation of N1(x) for x >> 1. From this
expression, determine approximate values of the first 4 zeros of N1(x). Show your work.
To obtain a measure of the accuracy of the approximate function in this case, do the
following. Find accurate values of the first 4 zeros of N1(x) from the internet, software,
or tables. Determine the percentage deviations of the approximate values from the
accurate values as follows:
approximate value - accurate value
percentage deviation
x 100% .
%3D
accurate value
In a table, clearly display the numbers of zeros (1 – 4), the accurate values, the
approximate values, and the percentage deviations. The percentage deviations should
dramatically decrease with increasing number of the zero. If the percentage deviation
of the first zero is 8% or greater, you made one or more mistakes.
Transcribed Image Text:5. Write (do not derive) the asymptotic approximation of N1(x) for x >> 1. From this expression, determine approximate values of the first 4 zeros of N1(x). Show your work. To obtain a measure of the accuracy of the approximate function in this case, do the following. Find accurate values of the first 4 zeros of N1(x) from the internet, software, or tables. Determine the percentage deviations of the approximate values from the accurate values as follows: approximate value - accurate value percentage deviation x 100% . %3D accurate value In a table, clearly display the numbers of zeros (1 – 4), the accurate values, the approximate values, and the percentage deviations. The percentage deviations should dramatically decrease with increasing number of the zero. If the percentage deviation of the first zero is 8% or greater, you made one or more mistakes.
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