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{SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT -1 28 "Continuous Dynamical Sys
tems" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 125 "
The cell below shows how Maple can be used to estimate the solution of
 initial value problems like the ones in this module.  " }{TEXT 259 
15 "Evaluate it now" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 210 "with(plots):\n\nm := -1.0
:\nb := 2: \n\nInitialValue := 0.0:\n\ndiffeq := diff(p(t), t) = m * p
(t) + b:\n\nIVP := \{diffeq, p(0) = InitialValue\}:\n\nsolution := dso
lve(IVP, \{p(t)\}, numeric):\n\nodeplot(solution, p(t), 0..5);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 71 "You can answer the questi
ons in this module by changing the values of  " }{TEXT 260 16 "Initial
Value, m " }{TEXT -1 3 "and" }{TEXT 263 3 " b." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}}{MARK "3 2 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }