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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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