An initial value problem for t≥0 is given below. (dy/dt)+250∫te−10τy(t−τ) dτ=6, y(0)=0. Find the Laplace transform of y(t) using convolution. (image)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 31E
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An initial value problem for t≥0 is given below.

(dy/dt)+250te−10τy(t−τ) dτ=6, y(0)=0.

Find the Laplace transform of y(t) using convolution.

(image)

6(s + 10)
A. Y(s) =
s(s + 5)2
6(s + 10)
(s + 5)2
В. Y (8) -
6(s – 10)
(s + 5)2
c. Y(s) =
6(s + 10)
s(s? + 25)
D. Y(s) =
6(s + 10)
Е. Y(s)
s2 + 25
6(s – 10)
s(s + 5)2
-
F. Y(s) =
Transcribed Image Text:6(s + 10) A. Y(s) = s(s + 5)2 6(s + 10) (s + 5)2 В. Y (8) - 6(s – 10) (s + 5)2 c. Y(s) = 6(s + 10) s(s? + 25) D. Y(s) = 6(s + 10) Е. Y(s) s2 + 25 6(s – 10) s(s + 5)2 - F. Y(s) =
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