Determine the two singular points of the differential equation (x² - 81)y" + (9 − x)y′+ (x² + 18x +81)y = 0 List the points in increasing order: x1 = x2= Which of the following statements correctly describes the behaviour of the solutions of the differential equation near the singular point x1: A. All non-zero solutions are unbounded near 1. B. All solutions remain bounded near x1. C. At least one non-zero solution remains bounded near x1 and at least one solution is unbounded near x1. Which of the following statements correctly describes the behaviour of the solutions of the differential equation near the singular point 2: O A. All solutions remain bounded near 2. B. At least one non-zero solution remains bounded near 2 and at least one solution is unbounded near x2. C. All non-zero solutions are unbounded near 2.

Determine the two singular points of the differential equation (x² - 81)y" + (9 − x)y′+ (x² + 18x +81)y = 0 List the points in increasing order: x1 = x2= Which of the following statements correctly describes the behaviour of the solutions of the differential equation near the singular point x1: A. All non-zero solutions are unbounded near 1. B. All solutions remain bounded near x1. C. At least one non-zero solution remains bounded near x1 and at least one solution is unbounded near x1. Which of the following statements correctly describes the behaviour of the solutions of the differential equation near the singular point 2: O A. All solutions remain bounded near 2. B. At least one non-zero solution remains bounded near 2 and at least one solution is unbounded near x2. C. All non-zero solutions are unbounded near 2.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

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