2.3

<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>   |   <B>2.3</B>   |   <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>   |   <A HREF="id61.htm" TARGET="_top" TITLE="3.1(a)"><U>3.1(a)</U></A>   |   <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>2.3</B></div> <div> <FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B> <A NAME="1_8"><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" >1</FONT> a <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >8</FONT>, resuelva la ecuación diferencial dada.</div> <bR> <div> <IMG SRC="3018ae10.gif" border=0 width="650" height="225" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="302a2030.gif" border=0 width="674" height="259" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="303afe30.gif" border=0 width="687" height="227" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="304be100.gif" border=0 width="702" height="272" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="305c2ed0.gif" border=0 width="706" height="237" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="306beec0.gif" border=0 width="702" height="236" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="307c7f80.gif" border=0 width="711" height="248" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="308aef90.gif" border=0 width="686" height="249" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B> <A NAME="9_16"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>P</B></FONT>ara 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" >16</FONT>, encuentre la solución del problema con valor inicial dado en forma explícita y determine (por lo menos aproximadamente) el intervalo en que está definida.</div> <bR> <div> <IMG SRC="3103b310.gif" border=0 width="571" height="305" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <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= 205 ><NOBR><div> <IMG SRC="3112eb80.gif" border=0 width="302" height="184" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="3192fc60.gif" border=0 width="303" height="198" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="3131a600.gif" border=0 width="538" height="352" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="653" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 290 ><NOBR><div> <IMG SRC="31468870.gif" border=0 width="360" height="135" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="31b001b0.gif" border=0 width="256" height="283" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="31c7c330.gif" border=0 width="636" height="307" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="675" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 293 ><NOBR><div> <IMG SRC="31d68a90.gif" border=0 width="360" height="169" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="32d2c1e0.gif" border=0 width="300" height="286" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="32856290.gif" border=0 width="598" height="297" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="329f2330.gif" border=0 width="498" height="51" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="661" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 432 ><NOBR><div> <IMG SRC="32a683b0.gif" border=0 width="360" height="315" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> ó bien</div> <div> <IMG SRC="330d4580.gif" border=0 width="212" height="88" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="32cfb0c0.gif" border=0 width="251" height="268" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <div> <IMG SRC="32fdd2c0.gif" border=0 width="221" height="44" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="331535c0.gif" border=0 width="595" height="348" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="655" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 278 ><NOBR><div> <IMG SRC="33268050.gif" border=0 width="360" height="261" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="3340f0f0.gif" border=0 width="271" height="271" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="335ca420.gif" border=0 width="714" height="66" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="3365e810.gif" border=0 width="606" height="385" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="679" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 238 ><NOBR><div> <IMG SRC="337685d0.gif" border=0 width="360" height="93" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="33926e70.gif" border=0 width="294" height="231" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="33a7e590.gif" border=0 width="638" height="345" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="676" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 252 WIDTH="375"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="252" ALIGN="bottom" WIDTH="375" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="33c1df50.gif" border=0 width="285" height="245" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="4e7c48a0.gif" border=0 width="708" height="906" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <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="id57_m.htm#1_8" TARGET="TRLX_Middle" TITLE="2.3"><U><B>1 a 8 </B></U></A><B>|  </B><A HREF="id57_m.htm#9_16" TARGET="TRLX_Middle" TITLE="2.3"><U><B>9 a 16</B></U></A><B> |</B></div> </td> </tr></table></body>