Explanation Given information: x 0 = 0.1 , c = 3.8 Calculation: Given difference equation x t + 1 = c x t ( 1 − x t ) Where x 0 = 0.1 , c = 3.8 . Let us calculate some terms of the sequence. x 0 = 0.1 x 1 = ( 3.8 ) ⋅ x 0 ( 1 − x 0 ) = ( 3.8 ) ⋅ ( 0.1 ) ( 1 − 0.1 ) = 0.342 x 2 = ( 3.8 ) ⋅ x 1 ( 1 − x 1 ) = ( 3.8 ) ⋅ ( 0.342 ) ( 1 − 0.342 ) ≈ 0.8551 x 3 = ( 3.8 ) ⋅ x 2 ( 1 − x 2 ) = ( 3.8 ) ⋅ ( 0.8551 ) ( 1 − 0.8551 ) ≈ 0.4707 x 4 = ( 3.8 ) ⋅ x 3 ( 1 − x 3 ) ≈ ( 3.8 ) ⋅ ( 0.4707 ) ( 1 − 0.4707 ) ≈ 0.9467 x 5 = ( 3.8 ) ⋅ x 4 ( 1 − x 4 ) ≈ ( 3.8 ) ⋅ ( 0

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 2.1, Problem 51E

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Chapter 2.1, Problem 50E

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Chapter 2 Solutions

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To plot: x t + 1 = c x t ( 1 − x t ) and calculate its exact value.

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Chapter 2 Solutions