Differential Equation Auxiliary Equation Roots General Solution d²y 1) dr + 3 dz2 dy = 0 dr (A) (B) (C) 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F) 3) 2D4 + 11D3 + 18D² + 4D - 8 = 0 (G) (H) (1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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#3

Differential Equation
Auxiliary Equation
Roots
General Solution
d³y
d?y
+ 3
dy
= 0
dx
1)
(A)
(B)
(C)
dr3
dx?
2) (D3 + 3D²
4D
12) Y
(D)
(E)
(F)
%3D
3) 2D4 + 11D³ + 18D² + 4D – 8 = 0
(G)
(H)
(1)
Transcribed Image Text:Differential Equation Auxiliary Equation Roots General Solution d³y d?y + 3 dy = 0 dx 1) (A) (B) (C) dr3 dx? 2) (D3 + 3D² 4D 12) Y (D) (E) (F) %3D 3) 2D4 + 11D³ + 18D² + 4D – 8 = 0 (G) (H) (1)
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