{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 236 0 76 0 0 0 2 0 0 
0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 48 37 0 0 0 0 0 0 0 0 0 0 
0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 24 0 
0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 1 14 0 0 0 0 0 1 0 0 
0 0 0 0 0 1 }{CSTYLE "" -1 260 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 2 0 0 0 0 0 0 0 0 
0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 
{CSTYLE "" -1 -1 "" 1 18 50 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 6 6 0 
0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 
0 255 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "M
aple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 
1 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 4 "" 0 "" {TEXT 256 14 "Ejercicios de " }}{PARA 
4 "" 0 "" {TEXT 258 44 "(10) Las Ecuaciones en Derivadas Parciales; " 
}}{PARA 4 "" 0 "" {TEXT 260 27 "Ecuaciones de segundo orden" }}{PARA 
4 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 15 "Ejercicio 10-0
1" }}{PARA 0 "" 0 "" {TEXT -1 1 "\n" }{TEXT 259 25 "Recordemos que se \+
escribe" }}{PARA 4 "" 0 "" {TEXT -1 3 "   " }{XPPEDIT 18 0 "Delta" "6#
%&DeltaG" }{TEXT -1 5 " u = " }{XPPEDIT 18 0 "delta^2 u/(delta x^2)" "
6#*(%&deltaG\"\"#%\"uG\"\"\"*&F$F'*$%\"xGF%F'!\"\"" }{TEXT -1 4 "  + \+
" }{XPPEDIT 18 0 "delta^2 u/(delta y^2)" "6#*(%&deltaG\"\"#%\"uG\"\"\"
*&F$F'*$%\"yGF%F'!\"\"" }{TEXT -1 13 "             " }}{PARA 4 "" 0 "
" {TEXT -1 54 "en dos dimensiones, y an\341logamente en m\341s dimensi
ones." }}{PARA 4 "" 0 "" {TEXT -1 33 "Se considera la ecuaci\363n el
\355ptica" }}{PARA 4 "" 0 "" {TEXT -1 3 "   " }{XPPEDIT 18 0 "Delta" "
6#%&DeltaG" }{TEXT -1 14 " u = f ,  en D" }}{PARA 4 "" 0 "" {TEXT -1 
18 "       u = 0 , en " }{XPPEDIT 18 0 "Gamma" "6#%&GammaG" }{TEXT -1 
2 " ." }}{PARA 4 "" 0 "" {TEXT -1 42 "Consid\351rese una soluci\363n c
ualquiera  g  de" }}{PARA 4 "" 0 "" {TEXT -1 3 "   " }{XPPEDIT 18 0 "D
elta" "6#%&DeltaG" }{TEXT -1 16 " u = f ,  en D ," }}{PARA 4 "" 0 "" 
{TEXT -1 11 "el problema" }}{PARA 4 "" 0 "" {TEXT -1 3 "   " }
{XPPEDIT 18 0 "Delta" "6#%&DeltaG" }{TEXT -1 14 " u = 0 ,  en D" }}
{PARA 4 "" 0 "" {TEXT -1 20 "       u = - g , en " }{XPPEDIT 18 0 "Gam
ma" "6#%&GammaG" }{TEXT -1 2 " ," }}{PARA 4 "" 0 "" {TEXT -1 46 "y la \+
soluci\363n,  h , de este problema. Pru\351bese" }}{PARA 4 "" 0 "" 
{TEXT -1 13 "que, entonces" }}{PARA 4 "" 0 "" {TEXT -1 12 "   u = g + \+
h" }}{PARA 4 "" 0 "" {TEXT -1 34 "es soluci\363n del problema original
." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "interface(labeling=false):" }}}
{EXCHG {PARA 4 "" 0 "" {TEXT -1 18 "Como u = g + h  y " }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "Delta(g):=f; " }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%&DeltaG6#%\"gG%\"fG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "Delta(h):=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%&D
eltaG6#%\"hG\"\"!" }}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 12 "resulta     \+
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "Delta(u):=Delta(g)+Delt
a(h);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%&DeltaG6#%\"uG%\"fG" }}}
{EXCHG {PARA 4 "" 0 "" {TEXT -1 12 "y, como en  " }{XPPEDIT 18 0 "Gamm
a" "6#%&GammaG" }{TEXT -1 4 " ,  " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 6 "h:=-g;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG,$%\"g
G!\"\"" }}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 20 "resulta tambi\351n en  \+
" }{XPPEDIT 18 0 "Gamma" "6#%&GammaG" }{TEXT -1 5 "     " }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "u:=g+h;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"uG\"\"!" }}}}{MARK "0 0 0" 5 }{VIEWOPTS 1 1 0 3 4 
1802 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }