{VERSION 2 3 "SUN SPARC SOLARIS" "2.3" } {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 17 "x:=0;y:=1;h:=0.1;" } }{PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "for i from 1 to 10 do\n y:=y+h*x /y^2;\n x:=x+h;\nod;\nprint(x,y);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "restart; dsolve(\{diff(y(x),x)=x^3*(1-y(x))^2,y(0)=2 \},y(x));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "sol:=simplify( rhs(\"));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "int((1-y)^(-2) ,y);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "int(x^3,x);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "sol2:=solve(\"\"=\"+c,y);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "ceq:=subs(x=0,sol2)=2;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "solve(ceq,c);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "subs(c=-1,sol2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Exercises assigned:" }}{PARA 0 "" 0 "" {TEXT -1 11 "1.4 5, 12" }}{PARA 0 "" 0 "" {TEXT -1 32 "2.1, 2.2 3, 12, 2 3, 27, 29, 32" }}{PARA 0 "" 0 "" {TEXT -1 28 "2.3 10, 14, 25, 29, 32 , 36" }}{PARA 0 "" 0 "" {TEXT -1 24 "2.4 2, 4, 6, 8, 22, 31" }} {PARA 0 "" 0 "" {TEXT -1 43 "Exam Friday (19 Sept) over 1.1 through 2. 4." }}{PARA 0 "" 0 "" {TEXT -1 43 "Today: Orthogonal trajectories and review." }}}}{MARK "9 1 0" 11 }{VIEWOPTS 1 1 0 2 1 1805 }