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Laplace
0) {f(t)} =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040700.png)
{1} =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040701.png)
( t } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040702.png)
{ tn } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040703.png)
4) { eat } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040704.png)
5) {Sen at } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040705.png)
6) { Cos at } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040706.png)
7) { Senh at } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040707.png)
8) { Cosh at } =![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040708.png)
Laplace Inversa
9) -1{![Formulario de Laplace](https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/0/7/0/000040709.png)
} = 1
10) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407010.png)
} = t
11) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407011.png)
} = tn
12) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407012.png)
} = eat
13) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407013.png)
} = Sen at
14) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407014.png)
} = Cos at
15) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407015.png)
} = Senh at
16) -1{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407016.png)
} = Cosh at
Propiedades
17) { eat f(t) } = F(s - a)
18) { tn f(t) } = (-1) n F(n) (s)
19) { Y' ) = s{ Y} - Y(0)
20) { Y” ) = s2{Y} -sY(0) - Y'(0)
21) {![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407017.png)
} =![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407018.png)
= F(s)
f( t) = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/1/000407019.png)
-1 {F'(s) }
-1 {![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407020.png)
} = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407021.png)
= f( t)
{![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407022.png)
} = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407023.png)
{F(t)} = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407024.png)
Si F(t) es periodica
Función Unitaria y Impulso
( (t) } = 1
{ (t - a)} = e-as
{ '(t) } = s
( n(t) } = sn
{u(t)} = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407025.png)
{ u (t - a) } = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407026.png)
r(t) =![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407027.png)
r(t)=Rampa
44) (t) =![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407028.png)
(t)=Impulso
{ f(t -a)u(t - a) } = e-as{ f(t) }
-1 {e-as F(s) } = f(t - a)u(t - a)
Función Gamma
(n+1) = n (n) para Fracciones
(n+1) = n! Para enteros
(½)=" {tn}=![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/2/000407029.png)
n=Fracc.
( -½ ) = -2"
Convolución
f(t) • g(t) =![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407030.png)
Circuitos
VL = L![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407031.png)
= L![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407032.png)
IL = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407033.png)
VC = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407034.png)
=![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407035.png)
Ic = ![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407036.png)
=C![Formulario de Laplace](0https://rdv-files.nyc3.cdn.digitaloceanspaces.com/pub/html/files_html/7/0/3/000407037.png)
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Enviado por: | El remitente no desea revelar su nombre |
Idioma: | castellano |
País: | España |