{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 "" {TEXT -1 95 "2.3  Linear Equations  Ass
igned problems: 13, 21, 28, 30, 33.  I'll do  10, 14, 25, 29, 32, 36.
" }}{PARA 0 "" 0 "" {TEXT -1 31 "p. 52 # 10  General solution of" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "d10:=x*diff(y(x),x)+2*y(x)=x
^(-3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(d10,y(x));
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "   #14  Another:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "d14:=x*diff(y(x),x)+3*y(x)+2*x^2=x^
3+4*x;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(d14,y(x));
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "   #25  Write the solution to
 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "ivp25:=\{diff(y(x),x)+
2*x*y(x)=1,y(2)=1\};" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "as an int
egral." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "dsolve(ivp25,y(x)
);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 72 "Notice that Maple doesn't h
elp much!  So this one we have to do by hand." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 12 "simplify(\");" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 49 "diff(erf(x),x);limit(erf(x),x=-infinity);erf(0); " }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "plot([erf(x),2/sqrt(Pi)*exp
(-x^2)],x=-2..2,color=[red,blue]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 35 "   #29  Use your ingenuity to solve" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 38 "d29:=diff(y(x),x)=1/(exp(4*y(x))+2*x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "s29:=dsolve(d29,y(x));" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "s29:=s29*exp(2*y(x));" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "expand(\");" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 20 "And, now a pop test!" }}}}{MARK "13 0 0" 61 }
{VIEWOPTS 1 1 0 3 2 1804 }