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8/16/2019 INFORME Laplace
1/5
INFORME
TRANSFORMADA DE LAPLACE
LUIS FERNANDO JIMENEZ HERNANDEZ
LUIS FERNANDO HERNANDEZ VERONA
ANDRES FELIPE MIELES
DANIEL VIAFARA
21/05/2016
8/16/2019 INFORME Laplace
2/5
Transformada de Laplace
La Transfr!a"a "# La$%a #s 'na ()&n*&a Ma(#!+(*&a ,'#
fr!a $ar(# "# &*#r(as transformadas integrales &! %a
(ransfr!a"a "# F'r*#r- %a (ransfr!a"a "# H*%.#r(- %a(ransfr!a"a "# M#%%*n #n(r# (ras Es(as (ransfr!a"as #s(+n
"#n*"as $r !#"* "# 'na *n(#ra% *!$r$*a cambian una
función en una variable de entrada en otra función en
otra variable La (ransfr!a"a "# La$%a $'#"# s#r 'sa"a
$ara r#s%3#r E&'a&*n#s D*f#r#n&*a%#s L*n#a%#s E&'a&*n#s
In(#ra%#s A'n,'# s# $'#"#n r#s%3#r a%4n (*$ "# ED &n
&#&*#n(#s 3ar*a.%#s- #n #n#ra% s# a$%*&a a $r.%#!as &n
&#&*#n(#s &ns(an(#s Un r#,'*s*( a"*&*na% #s #%
&n&*!*#n( "# %as &n"*&*n#s *n*&*a%#s a %a !*s!a ED S'
!ar 3#n(aa sa%# a r#%'&*r &'an" %a f'n&*n #n %a 3ar*a.%#
*n"#$#n"*#n(# ,'# a$ar# #n %a ED #s 'na f'n&*n s#&&*na"a
C'an" s# r#s'#%3#n ED 'san" %a ()&n*&a "# %a (ransfr!a"a-
s# &a!.*a 'na #&'a&*n "*f#r#n&*a% #n 'n $r.%#!a a%#.ra*&
La !#("%7a &ns*s(# #n a$%*&ar %a (ransfr!a"a a %a ED
$s(#r*r!#n(# 'sar %as $r$*#"a"#s "# %a (ransfr!a"a E%
$r.%#!a "# a8ra &ns*s(# #n #n&n(rar 'na f'n&*n #n %a3ar*a.%# *n"#$#n"*#n(# (#na 'na &*#r(a #9$r#s*n &!
(ransfr!a"a
Denición de la Transformada
S#a f 'na f'n&*n "#n*"a $ara - %a transformada deLaplace "# f(t) s# "#n# &!
&'an" (a% *n(#ra% convergeNotas
1 La %#(ra s r#$r#s#n(a 'na n'#3a 3ar*a.%#- ,'# $ara #%$rs "# *n(#ra&*n s# &ns*"#ra &ns(an(#
http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Convergenciahttp://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Convergencia
8/16/2019 INFORME Laplace
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2 La (ransfr!a"a "# La$%a &n3*#r(# 'na f'n&*n #n t #n'na f'n&*n #n %a 3ar*a.%# s
: Cn"*&*n#s $ara %a #9*s(#n&*a "# %a (ransfr!a"a "# 'naf'n&*n;
1 D# r"#n #9$n#n&*a%
2 Cn(*n'a a (r
8/16/2019 INFORME Laplace
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? O.(#n&*n
@ O.(#n&*n
O.(#n&*n
10 O.(#n&*n
Tabla de propiedades de la Transformada de Laplace
http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion7http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion8http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion9http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion10http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion7http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion8http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion9http://www.mty.itesm.mx/etie/deptos/m/ma-841/laplace/home.htm#Obtencion10
8/16/2019 INFORME Laplace
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