Use D-operator methods to find (a) the complementary function yo of (D² – 3D - 4)y =0 (b) the particular integral y of the following equations: (1) (D² – 3D – 4)y = 6e* (ii) (D² – 3D – 4)v = te-t.

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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Question 4
Use D-operator methods to find
(a) the complementary function yo of (D - 3D- 4)y = 0
(b) the particular integral y, of the following equations:
(1) (D² – 3D – 4)y = 6e"
(ii) (D² – 3D – 4)v = t°e=!.
(c) Is tne operator P(D) = D² - 2D + 5 stable or unstable? Justify your answer.
(d) Use D operator methods to solve
(D² + 16)y = tsint.
Transcribed Image Text:Question 4 Use D-operator methods to find (a) the complementary function yo of (D - 3D- 4)y = 0 (b) the particular integral y, of the following equations: (1) (D² – 3D – 4)y = 6e" (ii) (D² – 3D – 4)v = t°e=!. (c) Is tne operator P(D) = D² - 2D + 5 stable or unstable? Justify your answer. (d) Use D operator methods to solve (D² + 16)y = tsint.
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