3.1(a)

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=77 BGCOLOR="#006600" TEXT="#F7F7FF"> <div> <B>| </B><A HREF="index.htm" TARGET="_top" TITLE="Ejercicios resueltos de ecuaciones di"><U><B>Ejercicios resueltos de ecuaciones diferenciales</B></U></A><B>  |  </B><A HREF="http://ed21.webcindario.com/index.htm" TARGET="_top" TITLE="http://ed21.webcindario.com/index.htm"><U><B>Análisis matemático</B></U></A><B> |  </B><A HREF="id31.htm" TARGET="_top" TITLE="Boyce y DiPrima"><U><B>Boyce y DiPrima</B></U></A><B> |</B></div> <div> <A HREF="id44.htm" TARGET="_top" TITLE="1.1"><U>1.1</U></A>   |   <A HREF="id46.htm" TARGET="_top" TITLE="2.1(a)"><U>2.1(a)</U></A>   |   <A HREF="id64.htm" TARGET="_top" TITLE="2.1(b)"><U>2.1(b)</U></A>   |   <A HREF="id47.htm" TARGET="_top" TITLE="2.2(a)"><U>2.2(a)</U></A>   |   <A HREF="id55.htm" TARGET="_top" TITLE="2.2(b)"><U>2.2(b)</U></A>   |   <A HREF="id65.htm" TARGET="_top" TITLE="2.2(c)"><U>2.2(c)</U></A>   |   <A HREF="id57.htm" TARGET="_top" TITLE="2.3"><U>2.3</U></A>   |   <A HREF="id60.htm" TARGET="_top" TITLE="2.4"><U>2.4</U></A>   |   <A HREF="id58.htm" TARGET="_top" TITLE="2.5(a)"><U>2.5(a)</U></A>   |   <A HREF="id88.htm" TARGET="_top" TITLE="2.5(b)"><U>2.5(b)</U></A>   |   <A HREF="id89.htm" TARGET="_top" TITLE="2.6(a)"><U>2.6(a)</U></A>   |   <A HREF="id83.htm" TARGET="_top" TITLE="2.8"><U>2.8</U></A>   |   <B>3.1(a)</B>   |   <A HREF="id62.htm" TARGET="_top" TITLE=" 3.1(b)"><U> 3.1(b)</U></A>   |   <A HREF="id63.htm" TARGET="_top" TITLE="7.2(a)"><U>7.2(a)</U></A>   |   <A HREF="id69.htm" TARGET="_top" TITLE="8.1(a)"><U>8.1(a)</U></A></div> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=14 BGCOLOR="#006600" TEXT="#F7F7FF"> <bR> </td> <td valign="top" height=382 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B>Problemas </B><B>3.1(a)</B></div> <bR> <div> <FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B> <A NAME="1_a_8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>E</B></FONT><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >n cada uno de los problemas</FONT> <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >1</FONT> <FONT SIZE="3" COLOR="#111111" FACE="Times New Roman" >a</FONT> <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >8</FONT><FONT SIZE="3" COLOR="#111111" FACE="Times New Roman" >, halle la solución general de la ecuación diferencial dada.</FONT></div> <bR> <div> <IMG SRC="34fab3d0.gif" border=0 width="427" height="317" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="350ab3d0.gif" border=0 width="427" height="317" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="351ab580.gif" border=0 width="427" height="344" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="352ab570.gif" border=0 width="427" height="343" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="353ab3f0.gif" border=0 width="427" height="319" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="355ab5b0.gif" border=0 width="427" height="347" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="35493600.gif" border=0 width="659" height="352" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="3568f440.gif" border=0 width="655" height="324" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <div> <FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B> <A NAME="9_a_14"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>E</B></FONT>n cada uno de los problemas <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >9</FONT> a <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >14</FONT>, encuentre la solución del problema con valor inicial dado. Trace la gráfica de la solución y describa su comportamiento al crecer <I>x</I>.</div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 371 ><NOBR><div> <IMG SRC="357536c0.gif" border=0 width="339" height="364" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="35c350c0.gif" border=0 width="309" height="268" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="358a07c0.gif" border=0 width="672" height="380" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 371 ><NOBR><div> <IMG SRC="35d536c0.gif" border=0 width="339" height="364" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="3602cf20.gif" border=0 width="300" height="242" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="35ea0970.gif" border=0 width="672" height="407" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 399 ><NOBR><div> <IMG SRC="36153880.gif" border=0 width="339" height="392" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="3642c0e0.gif" border=0 width="300" height="270" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="362b0010.gif" border=0 width="688" height="513" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 371 ><NOBR><div> <IMG SRC="366546c0.gif" border=0 width="340" height="364" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="36953180.gif" border=0 width="339" height="280" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="367ca000.gif" border=0 width="714" height="256" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 371 ><NOBR><div> <IMG SRC="36a536c0.gif" border=0 width="339" height="364" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="36d26120.gif" border=0 width="294" height="274" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="36ba0980.gif" border=0 width="672" height="408" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 398 ><NOBR><div> <IMG SRC="36e53870.gif" border=0 width="339" height="391" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <div> <IMG SRC="371271e0.gif" border=0 width="295" height="286" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="36fa0f80.gif" border=0 width="672" height="504" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <bR> </td> <td valign="top" rowspan="2" width=14 BGCOLOR="#006600" TEXT="#F7F7FF"> <bR> </td> </tr><tr> <td valign="top" height=21 BGCOLOR="#006600" TEXT="#F7F7FF"> <div> <B>|  </B><A HREF="id61_m.htm#1_a_8" TARGET="TRLX_Middle" TITLE="3.1(a)"><U><B>1 a 8</B></U></A><B> |  </B><A HREF="id61_m.htm#9_a_14" TARGET="TRLX_Middle" TITLE="3.1(a)"><U><B>9 a 14</B></U></A><B> |</B></div> </td> </tr></table></body>