Please use Laplace Transform Method Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 31 50 +-1+-e"- 2e' 8. 89 -91 (A) y(t) 81 (в) у() 81 50 5 = -+ -1+ 31 9t =e"– 2e' 81 31 Ft+ e - e -21 © y (t) -t 81 89 81 5 31 D y (t) = -9t e + 2e -21 - - + - - - 81 89 81
Please use Laplace Transform Method Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 31 50 +-1+-e"- 2e' 8. 89 -91 (A) y(t) 81 (в) у() 81 50 5 = -+ -1+ 31 9t =e"– 2e' 81 31 Ft+ e - e -21 © y (t) -t 81 89 81 5 31 D y (t) = -9t e + 2e -21 - - + - - - 81 89 81
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Please use Laplace Transform Method
Consider the following IVP:
y" -10y' +9y = 5t, y(0) = -1, y'(0) = 2
Find the general solution.
31
50
+-1+-e"- 2e'
8.
89
-91
(A) y(t)
81
(в) у()
81
50
5
= -+ -1+
31 9t
=e"– 2e'
81
31
Ft+ e - e
-21
© y (t)
-t
81
89
81
5
31
D y (t) =
-9t
e
+ 2e -21
- -
+ -
- -
81
89
81](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F451fce81-044d-456d-aa05-22fe3c469ade%2F1a97005b-bd35-4d92-9b0f-2a6a7dc986cc%2Fvh2mplr_processed.png&w=3840&q=75)
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.
31
50
+-1+-e"- 2e'
8.
89
-91
(A) y(t)
81
(в) у()
81
50
5
= -+ -1+
31 9t
=e"– 2e'
81
31
Ft+ e - e
-21
© y (t)
-t
81
89
81
5
31
D y (t) =
-9t
e
+ 2e -21
- -
+ -
- -
81
89
81
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