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7. Find the general solution of the following DE. a. (D2 – D- 2)y = 0. b. (D2 + 3D)y = 0. c. (D? – D - 6)y = 0. d. (D2 + 5D + 6)y = 0. e. (D + 2D2 - 15D)y = 0. %3D

7. Find the general solution of the following DE. a. (D2 – D- 2)y = 0. b. (D2 + 3D)y = 0. c. (D? – D - 6)y = 0. d. (D2 + 5D + 6)y = 0. e. (D + 2D2 - 15D)y = 0. %3D

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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7. Find the general solution of the following DE. a. (D? - D- 2)y = 0. b. (D2 + 3D)y 0. c. (D? – D - 6)y = 0. d. (D2 + 5D + 6)y 0. e. (D + 2D2 - 15D)y = 0. 8. Find the particular solution of the following DE. a. D2 – 2D - 3)y = 0; when x 0, y 0, y' -4. b. D2 - D- 6)y 0; when x = 0, y = 0, and when x =
Transcribed Image Text:7. Find the general solution of the following DE. a. (D? - D- 2)y = 0. b. (D2 + 3D)y 0. c. (D? – D - 6)y = 0. d. (D2 + 5D + 6)y 0. e. (D + 2D2 - 15D)y = 0. 8. Find the particular solution of the following DE. a. D2 – 2D - 3)y = 0; when x 0, y 0, y' -4. b. D2 - D- 6)y 0; when x = 0, y = 0, and when x =
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