{VERSION 2 3 "IBM INTEL NT" "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 "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 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 "Bullet Item" 0 15 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 3 3 0 0 0 0 0 0 15 2 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Part Number " 0 256 1 {CSTYLE "" -1 -1 "Times" 1 12 128 0 0 1 0 1 0 0 0 0 0 0 0 } 0 0 0 -1 -1 -1 3 6 0 0 0 0 -1 3 }{PSTYLE "Done" 0 257 1 {CSTYLE "" -1 -1 "Times" 1 12 128 0 0 1 0 1 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 3 20 0 0 0 0 -1 0 }{PSTYLE "" 0 258 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 259 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 31 " Solving Simultaneous Equ ations" }}{PARA 258 "" 0 "" {TEXT -1 19 "Original Version: " }{TEXT 256 11 "Marie Baehr" }{TEXT -1 9 " 6/25/97" }}{PARA 259 "" 0 "" {TEXT -1 18 "Revised Version: " }{TEXT 257 15 "Earl C. Swallow" } {TEXT -1 11 " 10/11/99" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 91 "This worksheet presents an example of solving simu ltaneous linear equations with the Maple " }{TEXT 259 5 "solve" } {TEXT -1 134 " command. It has a WordPerfect document associated with it which describes the Physics associated with the equations in this \+ example." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 96 "In general, the procedure \+ for solving any set of simultaneous equations (whether linear or not): " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 15 "" 0 "" {TEXT -1 63 "Wri te down each equation, making sure to assign labels to them." }}{PARA 15 "" 0 "" {TEXT -1 8 "Use the " }{TEXT 258 5 "solve" }{TEXT -1 13 " c ommand (or " }{TEXT 260 6 "fsolve" }{TEXT -1 44 ", if appropriate) to \+ solve for the unknowns." }}{PARA 15 "" 0 "" {TEXT -1 170 " Check the s olution(s) by substituting back into the original equations and making sure they are satisfied. This step is particularly important for non -linear equations." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "eqn1:= -5*I1 + 3*I2 = -5;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "eqn2:= -3*I2 - 10*I3 = -2 ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "eqn3:= I1 + I2 = I3;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "solve(\{eqn1,eqn2,eqn3\}, \{I1,I2,I3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "I leave it to you to verify these \+ solutions." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "13 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }