2.2(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>   |   <B>2.2(a)</B>   |   <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>   |   <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>2.2(a)</B></div> <div>  <A NAME="1_a_4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><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" >4</FONT>, halle la solución general de la ecuación diferencial dada:</div> <div> <IMG SRC="2172fdd0.gif" border=0 width="559" height="221" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="21830e00.gif" border=0 width="560" height="224" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="219b9070.gif" border=0 width="697" height="263" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="21a04e00.gif" border=0 width="516" height="224" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="5_a_12"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B>E</B></FONT>n cada uno de los problemas <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >5</FONT> al <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >12</FONT>, determine la solución del problema con valor inicial dado. Escriba el intervalo en que la solución es válida:</div> <bR> <div> <IMG SRC="21bb1ad0.gif" border=0 width="689" height="173" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="1" CELLSPACING="1" WIDTH="684" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 366 ><NOBR><div> <IMG SRC="21c74670.gif" border=0 width="372" height="359" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><bR> <bR> <bR> <bR> <div> <IMG SRC="21d301b0.gif" border=0 width="304" height="283" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="2afa1170.gif" border=0 width="161" height="23" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="2b0a7770.gif" border=0 width="679" height="119" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="1" CELLSPACING="1" WIDTH="703" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 291 ><NOBR><div> <IMG SRC="2b143100.gif" border=0 width="323" height="272" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2b5391c0.gif" border=0 width="313" height="284" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <IMG SRC="2b6cab30.gif" border=0 width="714" height="179" 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= 295 ><NOBR><div> <IMG SRC="2b920200.gif" border=0 width="288" height="288" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2c3371b0.gif" border=0 width="311" height="283" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2ba506b0.gif" border=0 width="336" height="107" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="2c5cafe0.gif" border=0 width="714" height="254" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="1" CELLSPACING="1" WIDTH="716" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 275 ><NOBR><div> <IMG SRC="2c6320c0.gif" border=0 width="306" height="268" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2ca8bfd0.gif" border=0 width="395" height="253" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2c7a4680.gif" border=0 width="420" height="104" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="2cbcab30.gif" border=0 width="714" height="179" 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= 298 ><NOBR><div> <IMG SRC="2cc20230.gif" border=0 width="288" height="291" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2cf47190.gif" border=0 width="327" height="281" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2cd346c0.gif" border=0 width="564" height="108" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="2d0a6e30.gif" border=0 width="678" height="227" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="694" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 316 ><NOBR><div> <IMG SRC="2d17f350.gif" border=0 width="383" height="309" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2d3f9330.gif" border=0 width="249" height="307" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2d250740.gif" border=0 width="336" height="116" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <IMG SRC="2d4a8c00.gif" border=0 width="680" height="192" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="710" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 296 ><NOBR><div> <IMG SRC="2d50f100.gif" border=0 width="271" height="272" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2dda6210.gif" border=0 width="422" height="289" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2d6366f0.gif" border=0 width="310" height="111" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="2dbb6e80.gif" border=0 width="694" height="232" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="678" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 334 ><NOBR><div> <IMG SRC="2de48470.gif" border=0 width="328" height="327" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="2e1fe130.gif" border=0 width="254" height="275" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <div> <IMG SRC="2df48650.gif" border=0 width="328" height="101" 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="id47_m.htm#1_a_4" TARGET="TRLX_Middle" TITLE="2.2(a)"><U><B>1 a 4</B></U></A><B> | </B><B> </B><A HREF="id47_m.htm#5_a_12" TARGET="TRLX_Middle" TITLE="2.2(a)"><U><B>5 a 12</B></U></A><B> |</B></div> </td> </tr></table></body>