{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}{PARA 0 " " 0 "" {TEXT -1 15 "MATH 308 Honors" }}{PARA 0 "" 0 "" {TEXT -1 11 "Se ction 200" }}{PARA 0 "" 0 "" {TEXT -1 11 "Spring 2000" }}{PARA 0 "" 0 "" {TEXT -1 10 "P. Yasskin" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 22 "Exam 3 Maple Solutions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "with(inttrans):wi th(linalg):with(student):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "#4" }}{PARA 0 "" 0 "" {TEXT -1 4 "exam" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "alias(X=lapla ce(x(t),t,s),Y=laplace(y(t),t,s));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "eq1:=diff(x(t),t)=-8*x(t)+8*y(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "eq2:=diff(y(t),t)=-3*x(t)+2*y(t);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "inits:=x(0)=6,y(0)=4;" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "eq3:=laplace(eq1,t,s);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "eq4:=laplace(eq2,t,s);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "eqs:=subs(inits,\{eq3,eq4\}) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "lsol:=solve(eqs,\{X,Y \});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "invlaplace(lsol,s,t );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }