# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{displaymath}v'=-v+sin(ty){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=315 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath46" SRC="img3.gif"  > '; 
$key = q/{displaymath}y'=vhspace.2iny(t_0)=y_0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=322 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath54" SRC="img7.gif"  > '; 
$key = q/{displaymath}v'=f(t,y,v)hspace.2iny(t_0)=y'_0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=349 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath56" SRC="img8.gif"  > '; 
$key = q/{displaymath}w_k+1=w_k+Deltat{-w_k+sin(t_kz_k)}{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=381 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath50" SRC="img5.gif"  > '; 
$key = q/{displaymath}y''=-y'+sin(ty)hspace.2iny(0)=1,y'(0)=2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=400 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath42" SRC="img1.gif"  > '; 
$key = q/{displaymath}y'=v{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=272 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath44" SRC="img2.gif"  > '; 
$key = q/{displaymath}y''=f(t,y,y')hspace.2iny(t_0)=y_0,y'(t_0)=y'_0.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=400 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath52" SRC="img6.gif"  > '; 
$key = q/{displaymath}z_k+1=z_k+Deltatw_k{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=317 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath48" SRC="img4.gif"  > '; 
$key = q/{displaymath}z_k+1=z_k+(t_k+1-t_k)v_khspace.2inz_0=y_0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=383 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath58" SRC="img9.gif"  > '; 
$key = q/{displaymath}v_k+1=v_k+(t_k+1-t_k)f(t,z_k,v_k)hspace.2inv_0=y'_0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=416 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath60" SRC="img10.gif"  > '; 

1;

