# Lab 7 - (c Verify that y 2 = y 1 ′ by comparing the...

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MATH 342-010 Differential Equations with Linear Algebra II Fall 2009 Due October 26, 2009 Homework 7 Edwards and Penney Section 8.1 1. Page 516, numbers 4, 5 2. Page 516, number 14 3. Page 516, numbers 16 and 17 4. Page 516, number 22 5. Page 516, number 25 6. Consider the following functions y 1 = log(x − 1), y 2 =1/(x – 1) (a) Write the Taylor series for each function about the point x 0 = 2. (b) Find the radius of convergence of each series.

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Unformatted text preview: (c) Verify that y 2 = y 1 ′ by comparing the series term by term. Section 8.2 7. Page 526, number 9 8. Page 527 number 18 9 . Find the first three nonzero terms in the series for the two independent solutions of y" – xy = 0 near x = -1 10. Write the recurrence relation for the terms in the solution of xy" + y' + xy = 0 near x= 1. What is the radius of convergence of the series?...
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Lab 7 - (c Verify that y 2 = y 1 ′ by comparing the...

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