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Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.

Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.
Transcribed Image Text:Newton inverted series by a tabular method like the following, which show the coefficients of 1, y, y,y, . . in x and its powers. 1 а2 а1 x аз 2aoa2 + a a 2aoa1 2aoa3 + 2a1a2 9.5.2 Compute the first few entries in the third row of the table (the coefficients of x), and hence show that a3 1/6.
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