{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "" -1 256 "" 1 18 253 63 64 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 1 14 109 1 39 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE " " -1 258 "" 1 14 0 0 219 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 6 6 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2 " -1 256 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 } 3 1 0 0 4 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 4 4 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT 256 53 "Maple PC solution for c harge in R-C electric circuit:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 257 112 "Set up R-C \+ electric circuit Initial Value Problem (IVP): Differential Equation ( DE) plus Initial Condition (IC)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "R := 2 ; C := 1/6 ; E(t) := 100 ; # Enter circuit parameters" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "IC := q(0) = 30 ; # Enter initial charge" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "DE := R* diff(q(t),t) + q(t)/C = E(t) ;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "I VP := \{DE\} union \{IC\} ;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 33 "Solve IVP for charge and current " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "soln := dsolve(IVP,\{q(t)\}) :" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "subs(soln,q(t)) :" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "charge := unapply(%,t) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "current := t -> diff(charge(t),t) ;" }}}}{SECT 1 {PARA 3 "" 0 " " {TEXT -1 1 " " }{TEXT 259 23 "Plot charge and current" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "plot(charge(t), t=0..2) ;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(current(t), t=0..2) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "1 0 0" 8 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }