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The numbers are not r ealistic." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 140 "Notice how the response tracks the ambient with a time delay (pha se shift in the first example) and with a reduced amplitude of fluctua tion." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "ode:=diff(T(t),t)+k*T(t)=k*F(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %$odeG/,&-%%diffG6$-%\"TG6#%\"tGF-\"\"\"*&%\"kGF.F*F.F.*&F0\"\"\"-%\"F GF,F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "F:=t->B+A*cos(omeg a*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGR6#%\"tG6\"6$%)operator G%&arrowGF(,&%\"BG\"\"\"*&%\"AGF.-%$cosG6#*&%&omegaGF.9$F.F.F.F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "dsolve(ode):Ts:=unapply(r hs(%),t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#TsGR6#%\"tG6\"6$%)oper atorG%&arrowGF(*&,.*&%\"BG\"\"\")%\"kG\"\"#\"\"\"F0*&F/F4)%&omegaGF3F4 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