5. Using of Laplace Transform Table, (a) (b) (c) find the transforms of the given function. f(t) = 3 + 2t Cos 3t find the inverse transform of the given function 3s +1 (s - 1)(s² + 1) F(s) solve the given differential equation. 2y" + 8y = 3 sin 2t The function is subject to y(0) = 0 and y'(0) = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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5.
Using of Laplace Transform Table,
(a)
(b)
(c)
find the transforms of the given function.
f(t) = 3 + 2t Cos 3t
find the inverse transform of the given function
3s +1
(s - 1)(s² + 1)
F(s)
solve the given differential equation.
2y" + 8y = 3 sin 2t
The function is subject to y(0) = 0 and y'(0) = 0
Transcribed Image Text:5. Using of Laplace Transform Table, (a) (b) (c) find the transforms of the given function. f(t) = 3 + 2t Cos 3t find the inverse transform of the given function 3s +1 (s - 1)(s² + 1) F(s) solve the given differential equation. 2y" + 8y = 3 sin 2t The function is subject to y(0) = 0 and y'(0) = 0
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