Please use Laplace Transform Method Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 50 - + -t+ Fe (A 31 -91 - 2e' y(t) 89 81 50 31 (B У (1) +-1+-e" – 2e' 81 81 31 -t -21 (© y(t) - e 81 89 81 5 31 -9t D у (t) + 2e -2 + -t 81 89 81

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please use Laplace Transform Method
Consider the following IVP:
y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2
Find the general solution.
50
- + -t+ Fe
(A
31
-91 - 2e'
y(t)
89
81
50
31
(B
У (1)
+-1+-e" – 2e'
81
81
31
-t
-21
(© y(t)
- e
81
89
81
5
31
-9t
(D
у (t)
+ 2e
-2
+ -t
81
89
81
Transcribed Image Text:Please use Laplace Transform Method Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 50 - + -t+ Fe (A 31 -91 - 2e' y(t) 89 81 50 31 (B У (1) +-1+-e" – 2e' 81 81 31 -t -21 (© y(t) - e 81 89 81 5 31 -9t (D у (t) + 2e -2 + -t 81 89 81
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