2.7

<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><FONT SIZE="4" COLOR="#FFFFFF" FACE="Bell MT" ><B>|</B></FONT><FONT SIZE="3" COLOR="#FFFFFF" FACE="Georgia" >  <A HREF="id84.htm" TARGET="_top" TITLE="G. F. Simmons"><U>G. F. Simmons</U></A></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" > |</FONT></div> <div> <A HREF="id124.htm" TARGET="_top" TITLE="1.2"><U>1.2</U></A>   |   <B>2.7</B>   |   <A HREF="id280.htm" TARGET="_top" TITLE="2.10"><U>2.10</U></A>   |   <A HREF="id126.htm" TARGET="_top" TITLE="3.14"><U>3.14</U></A>   |   <A HREF="id127.htm" TARGET="_top" TITLE="3.15"><U>3.15</U></A>   |   <A HREF="id128.htm" TARGET="_top" TITLE="3.16"><U>3.16</U></A>   |   <A HREF="id232.htm" TARGET="_top" TITLE="3.17"><U>3.17</U></A>   |   <A HREF="id290.htm" TARGET="_top" TITLE="Created from: 3.17"><U>Created from: 3.17</U></A>   |   <A HREF="id237.htm" TARGET="_top" TITLE="3.18"><U>3.18</U></A></div> <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>Problemas </B><B>2.7</B></div> <div> <B>Ecuaciones de primer orden</B></div> <div> <B>Ecuaciones homogéneas</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> <B>R</B><B>ecomendación</B>: <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><A HREF="id230.htm" TARGET="_top" TITLE="Ecuaciones homogéneas"><U>lea los apuntes sobre "ecuaciones homogéneas de primer orden"</U></A></FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados de los problemas</B></div> <bR> <bR> <div> <B>1. </B><FONT SIZE="4" COLOR="#00CC00" FACE="Bell MT" ><B> </B></FONT><FONT SIZE="4" COLOR="#009900" FACE="Bell MT" ><B>C</B></FONT><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >omprobar que las siguientes ecuaciones son homogéneas y resolverlas:</FONT></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="de6e91c0.gif" border=0 width="233" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#1a" TITLE="2.7"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="http://youtu.be/ZJYUfnMKTow" TARGET="_top" TITLE="http://youtu.be/ZJYUfnMKTow"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="e53c31c0.gif" border=0 width="195" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="http://youtu.be/HzYpL6NbBq8" TARGET="_top" TITLE="http://youtu.be/HzYpL6NbBq8"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="e550f2d0.gif" border=0 width="271" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="http://youtu.be/Vb__XhOfkGY" TARGET="_top" TITLE="http://youtu.be/Vb__XhOfkGY"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="de7dc2d0.gif" border=0 width="220" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#1d" TITLE="2.7"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="http://youtu.be/31FLBQmpzwI" TARGET="_top" TITLE="http://youtu.be/31FLBQmpzwI"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >        <IMG SRC="1499971b0.gif" border=0 width="151" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="https://youtu.be/3bz7fqA-iRk" TARGET="_top" TITLE="https://youtu.be/3bz7fqA-iRk"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >       <IMG SRC="149ae11c0.gif" border=0 width="225" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="https://youtu.be/jCCYrPwo3pU" TARGET="_top" TITLE="https://youtu.be/jCCYrPwo3pU"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >    </FONT></div> <div> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="de88d180.gif" border=0 width="141" height="24" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="#1g" TITLE="2.7"><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="Bell MT" > </FONT><A HREF="https://youtu.be/6cyAt_tFGmc" TARGET="_top" TITLE="https://youtu.be/6cyAt_tFGmc"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="149b8c200.gif" border=0 width="140" height="32" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="https://youtu.be/ya2iNgvIr6s" TARGET="_top" TITLE="https://youtu.be/ya2iNgvIr6s"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >             </FONT><A HREF="#1j" TITLE="2.7"><U><IMG SRC="149e8c1b0.gif" border=0 width="140" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A> <A HREF="https://youtu.be/PrHsBSeln8k" TARGET="_top" TITLE="https://youtu.be/PrHsBSeln8k"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><IMG SRC="de9e51c0.gif" border=0 width="229" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> </FONT><A HREF="https://youtu.be/FttrRQVB1C0" TARGET="_top" TITLE="https://youtu.be/FttrRQVB1C0"><U><IMG SRC="c4218180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >      </FONT></div> <bR> <div> <IMG SRC="de25d510.gif" border=0 width="861" height="81" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#003333" FACE="Bell MT" ><A HREF="#3" TITLE="2.7"><U><IMG SRC="c4118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <bR> <div> <IMG SRC="14d0bca50.gif" border=0 width="956" height="165" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Lista de reproducción sobre las soluciones de los problemas 2.7</B></div> <bR> <div> <B> <iframe width="853" height="480" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo3klf1WIk2xIQ3Mw6lXrk_w" frameborder="0" allowfullscreen></iframe>  </B></div> <div>  <A NAME="1a"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1a</div> <div> <IMG SRC="dda5c370.gif" border=0 width="860" height="823" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="1d"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1d</div> <div> <IMG SRC="ddc4fe90.gif" border=0 width="847" height="745" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="1g"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1g</div> <div> <IMG SRC="dde4f410.gif" border=0 width="847" height="577" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1j"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1j</div> <div> <IMG SRC="de047890.gif" border=0 width="839" height="649" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <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="14d2c4340.gif" border=0 width="964" height="52" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="de335710.gif" border=0 width="565" height="625" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="de4990f0.gif" border=0 width="665" height="271" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></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> <bR> <bR> <bR> <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>