laplace
DESCRIPTION
LaplaceTRANSCRIPT
-
rifandy23.blogspot.com 1. F(t) = 1 L {F(t)} = L{1} =
0
)1( dte st
= p stp dteLim0
=
pst
pe
s 0
1lim = 011lim sesep =
s
1
2. F(t) = t L{F(t)} =
0
ste t dt
= p stp tdte0
lim
= )(1.lim0
stp
ped
st
= dtetes
pstst
p 0
lim1
=
pstst
pe
ste
s 0
1lim1 = ss 101 o = 21s
3. F(t) = fungsi gamma = = + 1 = + + 1 = misal, x = st dx = s dt + 1 = + 1 = + 1 = + + 1 = + {} {} = ++ {} = n!+
PDF Compressor Pro
-
rifandy23.blogspot.com 4. F(t) = e a t
L{F(t)} = dtee a tst 0
= dteLimp
tas
p 0
)(
= ptasp
eas
0)(lim1
= 0)()( 11lim)( 1 asasp eeas =
as 1 5. F(t) = sin at
L{F(t)} = dte st 0
at sin
= p stp atdaeLim 0 )(cos1 =
pstst
peatd
aeat
aLim
00
)(cos1.cos1 =
p
p
stst
pdteat
a
seat
aLim
0
.cos.cos1
=
pstst
patd
ae
a
seat
aLim
00
)(sin1..cos1 =
ppststst
pedatate
a
seat
aLim
002 )(.sinsin(.cos
1 =
ppststst
pseatate
a
seat
aLim
002 ).sinsin(.cos
1 =
ppststst
pseat
a
sate
a
seat
aLim
002
2
2 ).sinsin.cos1
=
pstst
peat
a
seat
asa
aLim0
222
2
.sin.cos1 = 22 sa
a
PDF Compressor Pro
-
rifandy23.blogspot.com 6. F(t) = cos at
L{F(t)} = dte st 0
at cos
= p stp atdaeLim 0 )(sin1 =
pstst
peatd
aeat
aLim
00
)(cos1.cos1 =
p
p
stst
pdteat
a
seat
aLim
0
.cos.cos1
=
pstst
patd
ae
a
seat
aLim
00
)(sin1..cos1 =
ppststst
pedatate
a
seat
aLim
002 )(.sinsin(.cos
1 =
ppststst
pseatate
a
seat
aLim
002 ).sinsin(.cos
1 =
ppststst
pseat
a
sate
a
seat
aLim
002
2
2 ).sinsin.cos1
=
pstst
peat
a
seat
asa
aLim0
222
2
.sin.cos1 = 22 sa
a
7. F(t) = cosh at L{cosh at} = {+ } = { + } = [{} + {}] = [ + +] = [+++] = [ ] =
FORMULA EULER
cosh at = + dan
sinh at=
PDF Compressor Pro
-
rifandy23.blogspot.com
8. F(t) = sinh at L{sinh at} = { } = { } = [{} {}] = [ +] = [++] = [ ] =
PDF Compressor Pro