We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the inverse Laplace transform L-1 to each term. y(t) = L-3 + L- s + 4 We now recall the following, where a and b are constants. • By Theorem 7.2.1.: eat S - a • By linearity of L1: L-1{bs} = bL-1{s} Applying these gives the following result. y(t)

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 write legibly to avoid confusion of final answer

We can now rewrite L{y} as follows.
(금). (금)
17
Liy} :
S - 5
s+ 4
Next, to solve for y, we apply the inverse Laplace transform L-1 to each term.
y(t) = L-1
+ L-1
9
S -
s + 4
We now recall the following, where a and b are constants.
By Theorem 7.2.1.:
1
= eat
S - a
• By linearity of L1:
L-!{bs} = bL-{s}
Applying these gives the following result.
y(t) =||
Transcribed Image Text:We can now rewrite L{y} as follows. (금). (금) 17 Liy} : S - 5 s+ 4 Next, to solve for y, we apply the inverse Laplace transform L-1 to each term. y(t) = L-1 + L-1 9 S - s + 4 We now recall the following, where a and b are constants. By Theorem 7.2.1.: 1 = eat S - a • By linearity of L1: L-!{bs} = bL-{s} Applying these gives the following result. y(t) =||
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,