document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071996>Question 1071996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please any help will be grateful with this problem .<BR>\n" );
document.write( "A 400 gallon tank is filled with pure water . A salt solution with a concentration of 14g/gal flows into the tank at a rate 6gal/min . The thoroughly mixed solution is drained from the tank at a rate 6gal/min . <BR>\n" );
document.write( "A)Write an initial value problem for the mass of the salt .<BR>\n" );
document.write( "B)Solve the initial value problem .\r<BR>\n" );
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document.write( "This is how i started it . I might be wrong . Please feel free to correct anything i did .\r<BR>\n" );
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document.write( "dy/dt = (rate in )-(rate out)<BR>\n" );
document.write( "rate in =(14g/gal)(6gal/min)=84g/min<BR>\n" );
document.write( "rate out =(y(t)g/400gal)(6gal/min)=3y(t)/400(g/min)<BR>\n" );
document.write( "dy/dt=84-3y(t)/200 . Then i don't know how to finish it .\r<BR>\n" );
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document.write( "Thank you . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686901 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, that is the correct setup.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt%2B%283%2F200%29y=84 ALIGN=MIDDLE  ALT=\"dy%2Fdt%2B%283%2F200%29y=84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the general solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt%2Bky=0 ALIGN=MIDDLE  ALT=\"dy%2Fdt%2Bky=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ae%5E%28bt%29 ALIGN=MIDDLE  ALT=\"y=ae%5E%28bt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the particular solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt%2Bcy=d ALIGN=MIDDLE  ALT=\"dy%2Fdt%2Bcy=d\"   DISABLED_style= \"max-width:90%; height:auto;\" > is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=d%2Fc ALIGN=MIDDLE  ALT=\"y=d%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Work those through to get the answer using the initial condition.\r<BR>\n" );
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