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
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,