document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184302>Question 1184302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let y be the solution of the differential equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+xdy%2Fdx+=+y%5E2%2F%281-logx%29+ ALIGN=MIDDLE  ALT=\"+xdy%2Fdx+=+y%5E2%2F%281-logx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfying y(1) = 1. Then y satisfies which following condition:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814847 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving the D.E.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28dy%2Fdx%29+=+y%5E2%2F%281-logx%29+ ALIGN=MIDDLE  ALT=\"+x%28dy%2Fdx%29+=+y%5E2%2F%281-logx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfying y(1) = 1,\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fy%5E2+=+dx%2F%28x%281-logx%29%29 ALIGN=MIDDLE  ALT=\"dy%2Fy%5E2+=+dx%2F%28x%281-logx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%28-2%29dy+=+-d%281-logx%29%2F%281-logx%29 ALIGN=MIDDLE  ALT=\"y%5E%28-2%29dy+=+-d%281-logx%29%2F%281-logx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fy+=+-log%28%281-logx%29%29+%2B+c ALIGN=MIDDLE  ALT=\"-1%2Fy+=+-log%28%281-logx%29%29+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >,   after integrating both sides of the previous eq'n.\r<BR>\n" );
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document.write( "If y(1) = 1, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F1+=+-log%28%281-log1%29%29+%2B+c ALIGN=MIDDLE  ALT=\"-1%2F1+=+-log%28%281-log1%29%29+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ===> c = -1.\r<BR>\n" );
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document.write( "===>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-1%2Fy+=+-log%28%281-logx%29%29 ALIGN=MIDDLE  ALT=\"1-1%2Fy+=+-log%28%281-logx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since this answer is not included in the choices, it means that there is some kind of error in your D.E.\r<BR>\n" );
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document.write( "You can actually check this by substituting choices (i) to (iv) into the D.E. and will find out that none of them will satisfy it.  \r<BR>\n" );
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document.write( "Better check again your D.E. and see if you transcribed it correctly.\r<BR>\n" );
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