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Consider the following ODE: 7* + 5x = 39(t) a. Solve for x(t) using the Laplace transform method. x(0–) = 3 g(0–) = 0 %3D

Consider the following ODE: 7* + 5x = 39(t) a. Solve for x(t) using the Laplace transform method. x(0–) = 3 g(0–) = 0 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the following ODE: 7x + 5x = 39(t) x(0–) = 3 g(0–) = 0 a. Solve for x(t) using the Laplace transform method. b. Use IVT to identify x(0+), and compare that with the initial condition x(0-). Identify if they are the same or not. c. Plot x(t) from 0 < t< 10 s. and identify which value, x(0+) or x(0-), is represented by the plot of the function.
Transcribed Image Text:Consider the following ODE: 7x + 5x = 39(t) x(0–) = 3 g(0–) = 0 a. Solve for x(t) using the Laplace transform method. b. Use IVT to identify x(0+), and compare that with the initial condition x(0-). Identify if they are the same or not. c. Plot x(t) from 0 < t< 10 s. and identify which value, x(0+) or x(0-), is represented by the plot of the function.
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