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=24 BGCOLOR="#003366" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Bell MT" ><A HREF="index.htm" TARGET="_top" TITLE="Ecuaciones diferenciales"><U><B>Ecuaciones diferenciales</B></U></A><B>  | </B></FONT><A HREF="index.htm" TARGET="_top" TITLE="Ecuaciones diferenciales"><U><B>Home</B></U></A><B> | </B><A HREF="id118.htm" TARGET="_top" TITLE="C o n t e n i d o"><U><B>Contenido</B></U></A><B> | </B><A HREF="id31.htm" TARGET="_top" TITLE="B o y c e y D i P r i m a"><U><B>Boyce y DiPrima</B></U></A><B> </B></div> <div> <A HREF="id131.htm" TARGET="_top" TITLE="1.1"><U>1.1</U></A>   |   <A HREF="id132.htm" TARGET="_top" TITLE="2.1"><U>2.1</U></A>   |   <A HREF="id133.htm" TARGET="_top" TITLE="2.2"><U>2.2</U></A>   |   <B>2.3</B>   |   <A HREF="id137.htm" TARGET="_top" TITLE="2.4"><U>2.4</U></A>   |   <A HREF="id136.htm" TARGET="_top" TITLE="2.5"><U>2.5</U></A>   |   <A HREF="id274.htm" TARGET="_top" TITLE="2.10"><U>2.10</U></A>   |   <A HREF="id138.htm" TARGET="_top" TITLE="3.1"><U>3.1</U></A>   |   <A HREF="id269.htm" TARGET="_top" TITLE="3.2"><U>3.2</U></A>   |   <A HREF="id140.htm" TARGET="_top" TITLE="7.2(a)"><U>7.2(a)</U></A>   |   <A HREF="id143.htm" TARGET="_top" TITLE="8.1"><U>8.1</U></A></div> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=160 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=428 colspan=2 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>Problemas </B><B>2.3</B></div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <FONT SIZE="4" COLOR="#0099FF" FACE="Georgia" ><B>E</B></FONT>n cada uno de los problemas <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" >1</FONT> a <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" >8</FONT>, resuelva la ecuación diferencial dada.</div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="801" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 92 WIDTH="391"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Georgia" ><B>S</B></FONT>olución del ejercicio <FONT SIZE="4" COLOR="#FF0000" FACE="Georgia" ><B>1</B></FONT>:</div> <DIV ALIGN="LEFT"></DIV> <div>  <embed src="http://blip.tv/play/hLkfgsnqUQA" type="application/x-shockwave-flash" width="425" height="344" wmode="transparent" allowscriptaccess="always" allowfullscreen="true" ></embed>  </div> </tD> <tD VALIGN=TOP WIDTH="391"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Georgia" ><B>S</B></FONT>olución del ejercicio <FONT SIZE="4" COLOR="#FF0000" FACE="Georgia" ><B>2</B></FONT>:</div> <DIV ALIGN="LEFT"></DIV> <div>  <embed src="http://blip.tv/play/hLkfgsrFGAA" type="application/x-shockwave-flash" width="425" height="344" wmode="transparent" allowscriptaccess="always" allowfullscreen="true" ></embed>  </div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 92 WIDTH="391"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Georgia" ><B>S</B></FONT>olución del ejercicio <FONT SIZE="4" COLOR="#FF0000" FACE="Georgia" ><B>3</B></FONT>:</div> <DIV ALIGN="LEFT"></DIV> <div>  <embed src="http://blip.tv/play/hLkfgsrFFgA" type="application/x-shockwave-flash" width="425" height="344" wmode="transparent" allowscriptaccess="always" allowfullscreen="true" ></embed>  </div> </tD> <tD VALIGN=TOP WIDTH="391"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Georgia" ><B>S</B></FONT>olución del ejercicio <FONT SIZE="4" COLOR="#FF0000" FACE="Georgia" ><B>4</B></FONT>:</div> <DIV ALIGN="LEFT"></DIV> <div>  <embed src="http://blip.tv/play/hLkfgsrFEQA" type="application/x-shockwave-flash" width="425" height="344" wmode="transparent" allowscriptaccess="always" allowfullscreen="true" ></embed>  </div> </tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="69e8af00.gif" border=0 width="650" height="240" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="69fa2030.gif" border=0 width="674" height="259" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="6a0afe30.gif" border=0 width="687" height="227" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="6a1be100.gif" border=0 width="702" height="272" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="6a2c2ed0.gif" border=0 width="706" height="237" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <bR> <div> <IMG SRC="6a3c7f80.gif" border=0 width="711" height="248" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="6a4aef90.gif" border=0 width="686" height="249" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <FONT SIZE="4" COLOR="#0099FF" FACE="Georgia" ><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="4" COLOR="#CC0033" FACE="Georgia" >9</FONT> a <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" >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="6a53b310.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= 206 ><NOBR><div> <IMG SRC="6a62eb80.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="6a92fc60.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="6a71a600.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= 291 ><NOBR><div> <IMG SRC="6a868870.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="6aa001b0.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="6ab7c330.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= 294 ><NOBR><div> <IMG SRC="6ac68a90.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="6b12c1e0.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="6ad56290.gif" border=0 width="598" height="297" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="6aef2330.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= 436 ><NOBR><div> <IMG SRC="6af683b0.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="6b3d4580.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="6b0fb0c0.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="6b2dd2c0.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="6b4535c0.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= 279 ><NOBR><div> <IMG SRC="6b568050.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="6b60f0f0.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="6b7ca420.gif" border=0 width="714" height="66" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="6b85e810.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= 239 ><NOBR><div> <IMG SRC="6b9685d0.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="6ba26e70.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="6bb7e590.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= 253 WIDTH="375"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="253" ALIGN="bottom" WIDTH="375" HSPACE="0" VSPACE="0"></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="6bc1df50.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="71cc48a0.gif" border=0 width="708" height="906" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <DIV ALIGN="LEFT"></DIV> <div>  <script async 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