document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048333>Question 1048333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+2%29+d%5E2y%2Fdx%5E2+%2B+3x+dy%2Fdx+-+y+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+2%29+d%5E2y%2Fdx%5E2+%2B+3x+dy%2Fdx+-+y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(tried to write this as simply (x^2 + 2)y'' + 3xy' - y = 0 but it would not let me use the apostrophe in the formula so had to re-write it , came out a bit ugly but i hope you understand it)\r<BR>\n" );
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document.write( "Find two linearly independent solutions around x=0.\r<BR>\n" );
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document.write( "Now I know this is a second order linear differential equation, but all the examples I can find usually write a question based on only constants, not variables.\r<BR>\n" );
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document.write( "e.g 3y'' + 2y' + y = 0\r<BR>\n" );
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document.write( "Since my question has x and y, how do I deal with that? :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663913 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(x^2 + 2)y\" + 3xy' - y = 0\r\n" );
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document.write( "is good enough.  This involves the Sturm-Liouville theory\r\n" );
document.write( "and the Legrangian to get a closed solution.\r\n" );
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document.write( "That gets too advanced for this site.  You might try for\r\n" );
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document.write( "a Frobenius series solution.  This video might help you do that:\r\n" );
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document.write( "https://www.youtube.com/watch?v=Gq7MxHjtAdw\r\n" );
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document.write( "Edwin</PRE>    </SPAN>\n" );
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