{VERSION 3 0 "SUN SPARC SOLARIS" "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 23 "f:=(x,y)->evalf(2*y- 6);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 150 "numde:=proc(x0,y0,x 1,N)\nlocal h,x,y,i :\nh:=evalf((x1-x0)/N):\nx:=x0: y:=y0:\nfor i to N do\n y:=y+evalf(h*f(x,y)):\n x:=evalf(x+h):\nod:\nprint(x,y);\nend: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "numde(0,1,1,400);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "evalf(3-2*exp(2));" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 260 "numdr:=proc(x0,y0,x1,N)\nlo cal h,x,y,i,k1,k2,k3,k4 :\nh:=evalf((x1-x0)/N):\nx:=x0: y:=y0:\nfor i \+ to N do\n k1:=h*f(x,y):\n k2:=h*f(x+h/2,y+k1/2):\n k3:=h*f(x+h/2,y+ k2/2):\n k4:=h*f(x+h,y+k3):\n y:=y+evalf((k1+2*k2+2*k3+k4)/6):\n x: =evalf(x+h):\nod:\nprint(x,y);\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "numdr(0,1,1,100);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "maple:=dsolve(\{diff(y(x),x)=f(x,y(x)),y(0)=1\}, y(x) , type=numeric);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "maple(1) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "9" 0 } {VIEWOPTS 1 1 0 1 1 1803 }