document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184045>Question 1184045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A. Let g(t) be the solution of the initial value problem<BR>\n" );
document.write( "4t(dy/dt)+y=0,  t>0,<BR>\n" );
document.write( "with g(1)=1.<BR>\n" );
document.write( "Find g(t).<BR>\n" );
document.write( "g(t)= My answer is t^(-1/4), is correct.\r<BR>\n" );
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document.write( "B. Let f(t) be the solution of the initial value problem<BR>\n" );
document.write( "4t(dy/dt)+y=t^4<BR>\n" );
document.write( "with f(0)=0.<BR>\n" );
document.write( "Find f(t).<BR>\n" );
document.write( "f(t)= My answer is 1/4t^(1/3), it's wrong\r<BR>\n" );
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document.write( "C. Find a constant c so that<BR>\n" );
document.write( "k(t)=f(t)+cg(t)\r<BR>\n" );
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document.write( "solves the differential equation in part B and k(1)=14.<BR>\n" );
document.write( "c= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814583 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=814583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B.  The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28t%29+=+t%5E4%2F17 ALIGN=MIDDLE  ALT=\"y+=+f%28t%29+=+t%5E4%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This satisfies the IV condition of f(0) = 0, and the D.E., as \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4t%2A%28dy%2Fdt%29%2B+y++=+4t%2A%28%281%2F17%29%2A4t%5E3%29+%2B+t%5E4%2F17+=+%2816%2F17%29t%5E4+%2B+%281%2F17%29t%5E4+=+t%5E4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "C.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28t%29+=+f%28t%29+%2B+cg%28t%29+=+t%5E4%2F17+%2B+ct%5E%28-1%2F4%29 ALIGN=MIDDLE  ALT=\"k%28t%29+=+f%28t%29+%2B+cg%28t%29+=+t%5E4%2F17+%2B+ct%5E%28-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%281%29+=+1%2F17+%2B+c1%5E%28-1%2F4%29+=+1%2F17%2B+c+=+14 ALIGN=MIDDLE  ALT=\"k%281%29+=+1%2F17+%2B+c1%5E%28-1%2F4%29+=+1%2F17%2B+c+=+14\"   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=c+=+237%2F17 ALIGN=MIDDLE  ALT=\"c+=+237%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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