For each of the following differential equations, use Laplace transforms to find the solution to the IVP. 1. 3x + 12x + 60x = 8(t); x(0) = 0; x(0)=0 where 8(t) is the impulse or dirac delta function (row 1 in the Laplace transform table). 2. x + 10x + 25x = 0; x(0) = 1; x(0) = 0 3. x+ 5x + 6x = 2e-¹; x(0) = 1; x(0) = 0 4. + 2x = 8t; x(0) = 0; x(0) = 0 Show all your work/intermediate steps. Other solution methods besides Laplace transforms will not receive any credit

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
Can you answer Q2?
For each of the following differential equations, use Laplace transforms to find the solution to
the IVP.
1. 3x + 12x + 60x = 8(t); x(0) = 0; x (0) =0 where 8(t) is the impulse or dirac delta function
(row 1 in the Laplace transform table).
2. x + 10x +25x = 0; x(0) = 1; x(0) = 0
3. x+ 5x + 6x = 2e-t; x(0) = 1; x(0) = 0
4. + 2x = 8t; x(0) = 0; x(0) = 0
Show all your work/intermediate steps. Other solution methods besides Laplace transforms will
not receive any credit.
Transcribed Image Text:For each of the following differential equations, use Laplace transforms to find the solution to the IVP. 1. 3x + 12x + 60x = 8(t); x(0) = 0; x (0) =0 where 8(t) is the impulse or dirac delta function (row 1 in the Laplace transform table). 2. x + 10x +25x = 0; x(0) = 1; x(0) = 0 3. x+ 5x + 6x = 2e-t; x(0) = 1; x(0) = 0 4. + 2x = 8t; x(0) = 0; x(0) = 0 Show all your work/intermediate steps. Other solution methods besides Laplace transforms will not receive any credit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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,