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Get Full Access to Differential Equations - 4 Edition - Chapter 11.3 - Problem 13
Get Full Access to Differential Equations - 4 Edition - Chapter 11.3 - Problem 13

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# Solved: For 1213, use some form of technology to determine the first four terms in the

ISBN: 9780321964670 380

## Solution for problem 13 Chapter 11.3

Differential Equations | 4th Edition

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Differential Equations | 4th Edition

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Problem 13

For 1213, use some form of technology to determine the first four terms in the Legendre series expansion of the given function on the interval (1, 1). Plot the given function and the approximations S1 = a0P0, S3 = a0P0 + a1P1 + a2P2, S5 = a0P0 + a1P1 + a2P2 + a3P3 + a4P4 on the interval (1, 1). Comment on the convergence of the Legendre series to the given function for 1 < x < 1. f (x) = x(1 x2)ex .

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