Find the general solution for each of the following equations. 1) (D³-2D² - 3D) y

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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Question
Find the general solution for each of the
following equations.
Where
1) (D³-2D² - 3D)
2) (D² +D-6) y
3) (D³ - 3D² + y) y
d'y
dx²
=)
+ y = 0
5) (D² + 5D² + 4) y
x) (0-1) ³ (D-2) (0² + D + 1) y = 0
7)
(0³-2D³ -2 D² - 3D - 2) y
dx3
= 0
+ 2d²y
dx²
= 0
3
dy
dx
=0
Transcribed Image Text:Find the general solution for each of the following equations. Where 1) (D³-2D² - 3D) 2) (D² +D-6) y 3) (D³ - 3D² + y) y d'y dx² =) + y = 0 5) (D² + 5D² + 4) y x) (0-1) ³ (D-2) (0² + D + 1) y = 0 7) (0³-2D³ -2 D² - 3D - 2) y dx3 = 0 + 2d²y dx² = 0 3 dy dx =0
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