tial| Consider the following initial value problem, defined for t > 0: y – 4y = | (t - w) etw dw, У() 3 —3. a. Find the Laplace transform of the solution. Y(s) = L {y(t)} = b. Obtain the solution y(t). y(t) =

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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tial
Consider the following initial value problem, defined for t > 0:
y – 4y =
(t – w) ew dw,
У (0) — —3.
-
a. Find the Laplace transform of the solution.
Y(s) = L {y(t)} =
b. Obtain the solution y(t).
y(t) =
Transcribed Image Text:tial Consider the following initial value problem, defined for t > 0: y – 4y = (t – w) ew dw, У (0) — —3. - a. Find the Laplace transform of the solution. Y(s) = L {y(t)} = b. Obtain the solution y(t). y(t) =
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