Question
In: Advanced Math
Find the laplace transform of the following functions, using the definition of Laplace transforms: f(t)=-2cos4t f(t)=2...
Find the laplace transform of the following functions, using the definition of Laplace transforms:
f(t)=-2cos4t
f(t)=2 sin^2(t)
g(t)=3e^tcos(t)
Solutions
Colby Messinger answered 1 year agoRelated Solutions
1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...
1. Find the Laplace transform of each of the following
functions: (a). f(t) = t , (b). f(t) = t2 ,
(c) f(t) = tn where n is a positive
integer
Laplace transform of the given function
2. . f(t) = sin bt
3. f(t) = eat sin bt
Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < ...
Find the Laplace transform of the following
functions.
(a)
f (t) =
{
6
0 < t ≤ 4
8
t ≥ 4
(b)
f (t) =
{
t2
0 ≤ t < 3
0
t ≥ 3
(c)
f (t) =
{
0
0 ≤ t < π/4
cos[7(t − π/4)]
t ≥ π/4
1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...
1) Find the Laplace transform of
f(t)=−(2u(t−3)+4u(t−5)+u(t−8))
F(s)=
2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6)
F(s)=
3) Find the Laplace transform of f(t)=u(t−6)⋅t^2
F(s)=
. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t)...
. Find the Laplace transform of the functions: f(t) = 3e^5t t^3
− 6e^−t t^4 g(t) = 5e^3t cos(4t) − 6e^2t sin(7t)
Find the Laplace transforms: F(s)=L{f(t)} of the function f(t)=(8−t)(u(t−2)−u(t−5)), for s≠0. F(s)=L{f(t)}=
Find the Laplace transforms:
F(s)=L{f(t)} of the function
f(t)=(8−t)(u(t−2)−u(t−5)),
for s≠0.
F(s)=L{f(t)}=
Find All the following Laplace Transformations once using the definition of Laplace Transformation and then using...
Find All the following Laplace Transformations once using the
definition of Laplace Transformation and then using the memorized
Laplace Table relationships:
L[sin(ω*t)]
L[(e-5t)cos(6t)]
L[(e-5t)(t2)]
Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t ,0} piecewise function 0≤t<2 , t≥2...
Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t
,0} piecewise function 0≤t<2 , t≥2 ;y(0)=1 ,y′(0)=0
Use Laplace transforms to solve x''− 7x' + 6x = e^t + δ(t − 2) +...
Use Laplace transforms to solve x''− 7x' + 6x = e^t + δ(t − 2) +
δ(t − 4), x(0) = 0, x'(0) = 0.
inverse laplase transform problem F(s)= (7s+11)/s(s+5)((s^2)+4s+20) find F(t) using laplase transform
inverse laplase transform problem
F(s)= (7s+11)/s(s+5)((s^2)+4s+20)
find F(t) using laplase transform
Find the Laplace transform of d2y/dt2
Find the Laplace transform of d2y/dt2
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