{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 }{PSTYLE "Maple Outpu t" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "#7, p. 14" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "de:=diff(y(x),x$2)-diff(y(x),x)-2*y(x)=0; " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "subs(y(x)=exp(2*x)-3*ex p(-x),de);" }}{PARA 11 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(\");" }}{PARA 11 "" 0 "" {TEXT -1 0 "" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "#11, p. 14" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 72 "restart;expr:=exp(x*y(x))+y(x)=x-1;\ndiff(expr ,x);\nsolve(\",diff(y(x),x));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 " #17, p. 15" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 111 "restart; plo t(\{2/(1+2*exp(x)),2/(1+1*exp(x)), 2/(1+0*exp(x)),2/(1-1*exp(x)),2/(1- 2*exp(x))\},x=-2..2, y=-10..2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "restart;p(x):=c1*exp(x)+c2*x*exp(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "de:=diff(y(x),x,x)-2*diff(y(x),x)+y(x);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "subs(y(x)=p(x),de);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "q(x):=diff(p(x),x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "P:=c1=1;" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 13 "Q:=c1+c2=-1;;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "solve(\{P,Q\},\{c1,c2\});" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "7 0 0" 26 }{VIEWOPTS 1 1 0 1 1 1803 }