Explanation Given Information: There is a differential equation is given as y n = 3 y n − 1 − 12 , y 0 = 10 . Formula used: The differential equation y n = a y n − 1 + b , with a ≠ 1 , has the solutions, y n = b 1 − a + ( y 0 − b 1 − a ) a n . Calculation: Consider the given equation y n = 3 y n − 1 − 12 . Compare it with y n = a y n − 1 + b , and find out that, a = 3 b = − 12 It is also given that y 0 = 10

12th Edition

ISBN: 9780135901311

Author: Goldstein

Publisher: PEARSON

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Chapter 12.2, Problem 14E

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To calculate: The solution set for differential equation yn=3yn−1−12, and by the inspection, determine the long run behavior of the terms.

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Chapter 12.2, Problem 13E

Chapter 12.2, Problem 15E

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Chapter 12 Solutions

FINITE MATHEMATICS -MYLABMATH(18WK)

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The solution set for differential equation y n = 3 y n − 1 − 12 , and by the inspection, determine the long run behavior of the terms.

Solution Summary: The author calculates the solution set for the differential equation y_n=3.

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To calculate: The solution set for differential equation yn=3yn−1−12, and by the inspection, determine the long run behavior of the terms.

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Chapter 12 Solutions