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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 208 "### WARNING: `dsolv
e` has been extensively rewritten, many new result forms can occur and
 options are slightly different, see help page for details\ndsolve((1-
x^2)*diff(y(x),x,x)-2*x*diff(y(x),x)+2*y(x),y(x));" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#/-%\"yG6#%\"xG,&*&%$_C1G\"\"\"F'F+F+*&%$_C2GF+,&*&F'
\"\"\"-%#lnG6#,$*&,&F'F+F+F+F0,&F'F+!\"\"F+!\"\"F8F+#F+\"\"#F8F+F+F+" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "Wronskian([x,-1/2*ln(x-1)*x+1/2*ln(
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,(*&-%#lnG6#,&F(\"\"\"!\"\"F/F/F(F/#F0\"\"#*&-F,6#,&F(F/F/F/F/F(\"\"\"
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"> " 0 "" {MPLTEXT 1 0 7 "det(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,
$*&\"\"\"F%*&,&%\"xG\"\"\"!\"\"F)\"\"\",&F(F)F)F)\"\"\"!\"\"F*" }}}
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{MPLTEXT 1 0 189 "### WARNING: `dsolve` has been extensively rewritten
, many new result forms can occur and options are slightly different, \+
see help page for details\ndsolve(diff(y(x),x,x)-y(x)=-11*x+1,y(x));" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG,*F'\"#6!\"\"\"\"\"*&%
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ARNING: `dsolve` has been extensively rewritten, many new result forms
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ls\ndsolve(diff(y(x),x,x)-4*diff(y(x),x)+3*y(x)=-2*exp(x),y(x));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG,**&F'\"\"\"-%$expGF&F*F
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{MPLTEXT 1 0 264 "### WARNING: `dsolve` has been extensively rewritten
, many new result forms can occur and options are slightly different, \+
see help page for details\ndsolve(\{diff(x(t),t)=x(t)+2*y(t)-z(t), dif
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 41 "#5  The spring constant is 8/2.  [
m=8/32]" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 234 "### WARNING: `d
solve` has been extensively rewritten, many new result forms can occur
 and options are slightly different, see help page for details\ndsolve
(\{(8/32)*diff(y(t),t,t)+2*diff(y(t),t)+8/2*y(t)=0, y(0)=-1/2, D(y)(0)
=-2\},y(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"tG,&-%$exp
G6#,$F'!\"%#!\"\"\"\"#*&F)\"\"\"F'F2F-" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 15 "Yellow test. #1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 212 "### WARNING: `dsolve` has been extensively rewritten, many new \+
result forms can occur and options are slightly different, see help pa
ge for details\ndsolve(x*diff(y(x),x,x)+(1-2*x)*diff(y(x),x)+(x-1)*y(x
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> " 0 "" {MPLTEXT 1 0 40 "det(Wronskian([exp(x),ln(x)*exp(x)],x));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*&*$)-%$expG6#%\"xG\"\"#\"\"\"F+F)!\"
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0 "" {MPLTEXT 1 0 208 "### WARNING: `dsolve` has been extensively rewr
itten, many new result forms can occur and options are slightly differ
ent, see help page for details\ndsolve(diff(y(x),x,x)-4*diff(y(x),x)+3
*y(x)=-2*exp(x),y(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"
xG,**&F'\"\"\"-%$expGF&F*F*F+#F*\"\"#*&%$_C1GF*F+\"\"\"F**&%$_C2GF*-F,
6#,$F'\"\"$F*F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "#3" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 200 "### WARNING: `dsolve` has been ext
ensively rewritten, many new result forms can occur and options are sl
ightly different, see help page for details\ndsolve(\{diff(y(x),x,x)=6
*x,y(0)=3,D(y)(0)=-1\},y(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"
yG6#%\"xG,(*$)F'\"\"$\"\"\"\"\"\"F'!\"\"F+F-" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 34 "#4.  This one you do by hand only." }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 2 "#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 263 "#
## WARNING: `dsolve` has been extensively rewritten, many new result f
orms can occur and options are slightly different, see help page for d
etails\nrestart;dsolve(\{(4/32)*diff(y(t),t,t)+2*diff(y(t),t)+4/(3/12)
*y(t)=0, y(0)=-3/4, D(y)(0)=-2\},y(t), method=laplace);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"tG,&*&-%$expG6#,$F'!\")\"\"\"-%$cosG
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