Solve the given initial value problem using the method of Laplace transforms. 5, 0≤t≤ 13, y'' + 2y' + 5y = g(t), y(0) = −2, y'(0) = 0, where g(t) = { 10, 13

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Chapter2: Second-order Linear Odes
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Solve the given initial value problem using the method of Laplace transforms.
5, 0≤t≤ 13,
y'' + 2y' + 5y = g(t), y(0) = −2, y'(0) = 0, where g(t) = { 10, 13<t<26,
0, 26<t
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
α = 13
В = 26
(Simplify your answers.)
Identify p(t).
p(t)
(Use parentheses to clearly denote the argument of each function.)
=
Transcribed Image Text:Solve the given initial value problem using the method of Laplace transforms. 5, 0≤t≤ 13, y'' + 2y' + 5y = g(t), y(0) = −2, y'(0) = 0, where g(t) = { 10, 13<t<26, 0, 26<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. α = 13 В = 26 (Simplify your answers.) Identify p(t). p(t) (Use parentheses to clearly denote the argument of each function.) =
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