Consider the initial value problem y'+y=g(t), y(0) = 0. where g(t) is a continuous function. Express the solution in terms of a convolution integral. required to select all correct answers.) a. y(t) = So et "g(7)dr O b. y(t) = e * g(t) O c. y(t) = fo e'g(t - T)dr O d. y(t) = fo g(t - T)e "dr O e. y(t) = fj e (t-g()dr f. y(t) = e+ g(t) g y(t) = Se g(t– T)dr
Consider the initial value problem y'+y=g(t), y(0) = 0. where g(t) is a continuous function. Express the solution in terms of a convolution integral. required to select all correct answers.) a. y(t) = So et "g(7)dr O b. y(t) = e * g(t) O c. y(t) = fo e'g(t - T)dr O d. y(t) = fo g(t - T)e "dr O e. y(t) = fj e (t-g()dr f. y(t) = e+ g(t) g y(t) = Se g(t– T)dr
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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Transcribed Image Text:Consider the initial value problem
y +y=g(t), y(0) = 0,
%3D
where g(t) is a continuous function. Express the solution in terms of a convolution integral.
required to select all correct answers.)
B a. y(t) = fo e g(r)dr
Ob. v(t) = e' + g(t)
Oc. y(t) = fo e'g(t - T)dT
O d. y(t) = g(t – T}e "dr
y(t) = S, e (t-)g(r)dr
%3D
f. y(t) = e* g(t)
g. y(t) = Se g(t- 7)dr
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