{VERSION 2 3 "SUN SPARC SOLARIS" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "solm:=solve(exp(80*a lpha)=203/63,alpha);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%solmG,$-%#l nG6##\"#H\"\"*#\"\"\"\"#!)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+m!*ei9!#6" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "p0:=63/exp(solm*1890);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p0G,$*&\"\"$#\"\"\"\"\"%\"#H#F'\"\" )#\":\"eIrqAVh/`4v;\"E\"of%4Gt$[^t0LZ\"3!\\=D\"" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 10 "evalf(p0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# $\"+$=)RDi!#?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "p0*exp(sol m*2042);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"$#\"\"\"\"\"&\"#H# \"\"*\"#5#\"$.#F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf( \");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+LT$)=e!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "restart: de:=diff(p(t),t)=alpha*p(t )*(1-p(t)/P);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#deG/-%%diffG6$-%\" pG6#%\"tGF,*(%&alphaG\"\"\"F)F/,&F/F/*&F)F/%\"PG!\"\"F3F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "solg:=dsolve(de,p(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%solgG/*$-%\"pG6#%\"tG!\"\"*&,&\"\"\"F.*(-%$e xpG6#,$*&%&alphaGF.F*F.F+F.%$_C1GF.%\"PGF.F.F.F7F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "expr:=1/rhs(solg);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%exprG*&,&\"\"\"F'*(-%$expG6#,$*&%&alphaGF'%\"tGF'!\" \"F'%$_C1GF'%\"PGF'F'F0F2F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "e1:=P/(1+C)=63; e2:=P/(1+C*exp(-a*40))=123;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G/*&%\"PG\"\"\",&F(F(%\"CGF(!\"\"\"#j" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e2G/*&%\"PG\"\"\",&F(F(*&%\"CGF(-%$expG6#,$% \"aG!#SF(F(!\"\"\"$B\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "e 3:=P/(1+C*exp(-a*80))=203;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e3G/* &%\"PG\"\"\",&F(F(*&%\"CGF(-%$expG6#,$%\"aG!#!)F(F(!\"\"\"$.#" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "solve(\{e1,e2,e3\},\{P,C,a\} );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<%/%\"PG#\"%z[\"#8/%\"CG#\"$!e\" $<\"/%\"aG,$-%#lnG6##\"#H\"#7#\"\"\"\"#S" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "12 0 0" 0 }{VIEWOPTS 1 1 0 2 1 1805 }