document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683952>Question 683952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dy/dx= xy/2lny </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423830 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dy/dx= xy/2lny\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "dy= xy/2lny*dx\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2ln(y)/y*dy= x*dx\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "int(2ln(y)/y*dy)= int(x*dx)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*int(ln(y)/y*dy)= int(x*dx)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*((1/2)*ln(|y|)^2)= (1/2)x^2 + C\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(|y|)^2= (1/2)x^2 + C\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(|y|)= sqrt( (1/2)x^2 + C )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(|y|) = sqrt( (1/2)x^2 + C )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "|y| = e^(sqrt( (1/2)x^2 + C ))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = +-e^(sqrt( (1/2)x^2 + C )) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );