document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025057>Question 1025057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation<BR>\n" );
document.write( "d^3y/dx^3 +2d^2 y/dx^2 -13dy/dx +10y=0 ? (5marks)<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 #640372 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=640372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E3y%2Fdx%5E3+%2B2d%5E2y%2Fdx%5E2+-13dy%2Fdx+%2B10y=0+ ALIGN=MIDDLE  ALT=\"d%5E3y%2Fdx%5E3+%2B2d%5E2y%2Fdx%5E2+-13dy%2Fdx+%2B10y=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the D-notation, the differential equation becomes \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28D%5E3%2B2D%5E2-13D%2B10%29y+=+0 ALIGN=MIDDLE  ALT=\"%28D%5E3%2B2D%5E2-13D%2B10%29y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<==> (D-2)(D-1)(D+5)y = 0, after factorization\r<BR>\n" );
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document.write( "==>the general solution is \r<BR>\n" );
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