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="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Ecuaciones diferenciales"><U><B>Ecuaciones diferenciales</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="id182.htm" TARGET="_top" TITLE="Z i l l (Ed.7)"><U><B>D. G.. Zill</B></U></A><B>  |</B><FONT SIZE="3" COLOR="#FFFFFF" FACE="Bell MT" ><B>  </B></FONT><A HREF="id225.htm" TARGET="_top" TITLE="Ecuaciones lineales de primer orden"><U><B>Apuntes de ecuaciones lineales de primer orden</B></U></A></div> <bR> <div> </div> </td> </tr><tr> <td valign="top" 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=456 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>Ejercicios </B><B>2.3</B></div> <div> <B>Ecuaciones lineales de prim</B><B>e</B><B>r orden</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> <div>  <A NAME="enunciados"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>enunciados</div> <div> <B>Enunciados de los problemas del Ejercicio 2.3</B></div> <bR> <div> <FONT SIZE="5" COLOR="#006699" FACE="Bell MT" ><B>S</B></FONT>olución en imagen <IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> y o video <FONT SIZE="3" COLOR="#330033" FACE="Georgia" ><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT> de los problemas de los Ejercicios 2.3:</div> <bR> <div> <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" ><B>          E</B></FONT>n los problemas <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" >1</FONT> a <FONT SIZE="4" COLOR="#CC0033" FACE="Georgia" >24</FONT> determine la solución general de la ecuación diferencial dada. Indique el intervalo <I>I </I>más largo en el que está definida la solución general. Determine si hay algunos términos transitorios en la solución general.</div> <div> <IMG SRC="c7758300.gif" border=0 width="88" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#1_1" TITLE="2.3"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <FONT SIZE="4" COLOR="#000000" FACE="Georgia" ><A HREF="https://youtu.be/JEElF8PDfx8?t=19s" TARGET="_top" TITLE="https://youtu.be/JEElF8PDfx8?t=19s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <FONT SIZE="4" COLOR="#00CC00" FACE="Georgia" ><B><IMG SRC="c7875300.gif" border=0 width="117" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </B></FONT><A HREF="#2" TITLE="2.3"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <FONT SIZE="4" COLOR="#000000" FACE="Georgia" ><A HREF="https://youtu.be/MH_-OxiSSmM" TARGET="_top" TITLE="https://youtu.be/MH_-OxiSSmM"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <FONT SIZE="4" COLOR="#00CC00" FACE="Georgia" ><B><IMG SRC="c7a79300.gif" border=0 width="121" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </B></FONT><A HREF="#3" TITLE="2.3"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <FONT SIZE="4" COLOR="#000000" FACE="Georgia" ><A HREF="https://youtu.be/JEElF8PDfx8?t=11m3s" TARGET="_top" TITLE="https://youtu.be/JEElF8PDfx8?t=11m3s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>      <IMG SRC="140287300.gif" border=0 width="135" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Georgia" ><A HREF="#4" TITLE="2.3"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/BhhWHGNOdHc" TARGET="_top" TITLE="https://youtu.be/BhhWHGNOdHc"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14c27f1b0.gif" border=0 width="127" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/MH_-OxiSSmM?t=6m46s" TARGET="_top" TITLE="https://youtu.be/MH_-OxiSSmM?t=6m46s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="1404771b0.gif" border=0 width="119" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#6" TITLE="2.3"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/5KJcCz-vKKk" TARGET="_top" TITLE="https://youtu.be/5KJcCz-vKKk"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14c3751b0.gif" border=0 width="117" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/TWxERiBqLZY?t=37s" TARGET="_top" TITLE="https://youtu.be/TWxERiBqLZY?t=37s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14c48f1b0.gif" border=0 width="143" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/TWxERiBqLZY?t=8m32s" TARGET="_top" TITLE="https://youtu.be/TWxERiBqLZY?t=8m32s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14c5a72d0.gif" border=0 width="167" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/y_TnvEGqy9A?t=32s" TARGET="_top" TITLE="https://youtu.be/y_TnvEGqy9A?t=32s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="14c6882d0.gif" border=0 width="136" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/y_TnvEGqy9A?t=7m53s" TARGET="_top" TITLE="https://youtu.be/y_TnvEGqy9A?t=7m53s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>    </div> <div> <IMG SRC="14c7ad2d0.gif" border=0 width="173" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/LUChJuvvgtE?t=35s" TARGET="_top" TITLE="https://youtu.be/LUChJuvvgtE?t=35s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14c8d42d0.gif" border=0 width="212" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/LUChJuvvgtE?t=7m41s" TARGET="_top" TITLE="https://youtu.be/LUChJuvvgtE?t=7m41s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14cac11d0.gif" border=0 width="193" height="29" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="https://youtu.be/XENrPlcNsLA" TARGET="_top" TITLE="https://youtu.be/XENrPlcNsLA"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="14cbe71d0.gif" border=0 width="231" height="29" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://youtu.be/sRwlL2RE6Po" TARGET="_top" TITLE="https://youtu.be/sRwlL2RE6Po"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="14ccd4210.gif" border=0 width="212" height="33" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">          <IMG SRC="1633bd1f0.gif" border=0 width="189" height="31" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="3" COLOR="#330033" FACE="Georgia" ><A HREF="https://www.youtube.com/watch?v=6odxNb2jPXw" TARGET="_top" TITLE="https://www.youtube.com/watch?v=6odxNb2j"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="1634ef350.gif" border=0 width="239" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=tRETQ27QoQI" TARGET="_top" TITLE="https://www.youtube.com/watch?v=tRETQ27Q"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="163731350.gif" border=0 width="305" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=pMAmUzStrTk" TARGET="_top" TITLE="https://www.youtube.com/watch?v=pMAmUzSt"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="163824350.gif" border=0 width="292" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=Esa-cabfZYQ" TARGET="_top" TITLE="https://www.youtube.com/watch?v=Esa-cabf"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <IMG SRC="16390b350.gif" border=0 width="267" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=qZWLcjuK9kE" TARGET="_top" TITLE="https://www.youtube.com/watch?v=qZWLcjuK"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="163ad9350.gif" border=0 width="217" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=RbrEtDiueUk" TARGET="_top" TITLE="https://www.youtube.com/watch?v=RbrEtDiu"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>         <IMG SRC="163be5350.gif" border=0 width="229" height="53" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=0AMw_Mzx65s" TARGET="_top" TITLE="https://www.youtube.com/watch?v=0AMw_Mzx"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="163cd0300.gif" border=0 width="208" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=BPQJAvpgua0" TARGET="_top" TITLE="https://www.youtube.com/watch?v=BPQJAvpg"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="163ee9300.gif" border=0 width="233" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=U9KR93rlzvY" TARGET="_top" TITLE="https://www.youtube.com/watch?v=U9KR93rl"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          </div> <div> <B>E</B><FONT SIZE="4" COLOR="#330033" FACE="Georgia" >n los problemas </FONT>25<FONT SIZE="4" COLOR="#330033" FACE="Georgia" > a </FONT>30<FONT SIZE="4" COLOR="#330033" FACE="Georgia" > resuelva el problema con valores ini?ciales. Indique el intervalo I más largo en el que está defi nida </FONT></div> <div> la solución.</div> <div> <IMG SRC="163fc71c0.gif" border=0 width="199" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=il_xDpj9DK4" TARGET="_top" TITLE="https://www.youtube.com/watch?v=il_xDpj9"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <IMG SRC="1640d9330.gif" border=0 width="217" height="51" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=-z4eFyecJ7g" TARGET="_top" TITLE="https://www.youtube.com/watch?v=-z4eFyec"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>         <IMG SRC="1642a8300.gif" border=0 width="424" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=igVIodEQNMs" TARGET="_top" TITLE="https://www.youtube.com/watch?v=igVIodEQ"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="1643cb300.gif" border=0 width="459" height="48" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="https://www.youtube.com/watch?v=NwBuVfDx3_E" TARGET="_top" TITLE="https://www.youtube.com/watch?v=NwBuVfDx"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <DIV ALIGN="LEFT"></DIV> <div>  <A NAME="soluciones"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>soluciones</div> <div> <B>Lista de reproducción sobre las soluciones del Ejercicio 2.3</B></div> <bR> <div>  <iframe width="853" height="480" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo2HEowKZt9_SK7tDR6qVfmR" frameborder="0" allowfullscreen></iframe>  </div> <bR> <div> <B>Soluciones de los problemas del Ejercicio 2.3</B></div> <div>  <A NAME="1_1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="1" COLOR="#FFFFFF" FACE="Georgia" >1</FONT></div> <div> <B><IMG SRC="9eae4c40.gif" border=0 width="996" height="452" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></div> <div> <IMG SRC="9ec14ec0.gif" border=0 width="788" height="492" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="9ee14040.gif" border=0 width="788" height="516" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">2</div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <IMG SRC="14051b390.gif" border=0 width="795" height="569" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>6</div> <div> <IMG SRC="1403bb9c0.gif" border=0 width="699" height="668" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="97d28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="97e28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="http://www.youtube.com/user/MatematicaAp"><U><IMG SRC="97f28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <a href="HTMLobj-5296/Aviso_Baldor.docx"><img align="bottom" border="0" width="40" height="40" src="HTMLobj-5296/gato_1.jpg"></a>  </div> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> </td> <td valign="top" width=105 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="154c64580.gif" border=0 width="100" height="600" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> </td> </tr></table></body>