document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032007>Question 1032007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:<BR>\n" );
document.write( "Find a general solution to the differential equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx ALIGN=MIDDLE  ALT=\"dy%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2y%5E3 ALIGN=MIDDLE  ALT=\"-x%5E2y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646697 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y'=-x^2*y^3<BR>\n" );
document.write( "separate the variables<BR>\n" );
document.write( "y^(-3) dy/dx=-x^2<BR>\n" );
document.write( "y^-3 dy =-x^2 dx<BR>\n" );
document.write( "integrate both sides<BR>\n" );
document.write( "-(1/2)y^(-2)=(-1/3)x^3; multiply both sides by -6.<BR>\n" );
document.write( "(3/y^2)=2x^3; cross multiply<BR>\n" );
document.write( "2y^2=(3/x^3)<BR>\n" );
document.write( "y^2=(3/2x^3)<BR>\n" );
document.write( "y=+/-sqrt(3/2)(1/x*sqrt(x))=[(3sqrt(2))/2]*1/[x*sqrt(x)]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );