document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030556>Question 1030556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A differential equation that is a function of x only\r<BR>\n" );
document.write( "\n" );
document.write( " will produce a slope field with parallel tangents along the diagonal<BR>\n" );
document.write( " will produce a slope field that does not have rows or columns of parallel tangents<BR>\n" );
document.write( " will produce a slope field with rows of parallel tangents<BR>\n" );
document.write( " will produce a slope field with columns of parallel tangents </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645791 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=645791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"a differential equation that is a function of x only\", I will assume that you meant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+f%28x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Suppose that F(x) is an antiderivative of f(x), or that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+int%28f%28x%29%2C+dx%29 ALIGN=MIDDLE  ALT=\"y+=+int%28f%28x%29%2C+dx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that y = F(x) + c, for arbitrary constants c.\r<BR>\n" );
document.write( "\n" );
document.write( "This means that the general solution is a family of curves that are just vertical copies of any  one of them.\r<BR>\n" );
document.write( "\n" );
document.write( "This implies that all are false except for the last one:  Will produce a slope field with columns of parallel tangents. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );