Miscelánea 3

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=98 BGCOLOR="#006600" TEXT="#F7F7FF" bgproperties="fixed" background="05700732dwnpjk.jpg"> <div> <FONT SIZE="6" COLOR="#FFFFFF" FACE="Times New Roman" ><B>C á l c u l o   2 1</B></FONT><FONT SIZE="6" COLOR="#FFCC66" FACE="Arial" ><B> </B></FONT><FONT SIZE="2" COLOR="#FFFFCC" FACE="Arial" >   </FONT><B>  |   </B><A HREF="index.htm" TARGET="_top" TITLE="A n á l i s i s M a t e m á t i c o"><U><B>Home</B></U></A><B> |  </B><A HREF="id98.htm" TARGET="_top" TITLE=" | Contenido |"><U><B>Contenido</B></U></A><B> |  </B><A HREF="id373.htm" TARGET="_top" TITLE="Ecuaciones diferenciales"><U><B>Ecuaciones diferenciales</B></U></A><B> |</B></div> <div> <A HREF="id387.htm" TARGET="_top" TITLE="Miscelánea 1"><U>Miscelánea 1</U></A>   |   <A HREF="id388.htm" TARGET="_top" TITLE="Miscelánea 2"><U>Miscelánea 2</U></A>   |   Miscelánea 3</div> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=105 BGCOLOR="#006600" TEXT="#F7F7FF"> <bR> </td> <td valign="top" height=361 colspan=2 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <U>Miscelánea 3</U></div> <DIV ALIGN="LEFT"></DIV> <div> <TABLE BORDER="1" CELLPADDING="1" CELLSPACING="1" WIDTH="659" BORDERCOLORLIGHT="#66CCFF" BORDERCOLORDARK="#0000CC" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP COLSPAN=2 BGCOLOR=#FFFFCC HEIGHT= 20 WIDTH="649"><div> <B> <A NAME="e_n_u_n_c_i_a_d_o_s"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><FONT SIZE="3" COLOR="#006633" FACE="Times New Roman" ><B>E n u n c i a d o s</B></FONT></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 122 WIDTH="323"><div> <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B>1.</B></FONT><FONT SIZE="3" COLOR="#00CC00" FACE="Times New Roman" ><B>  D</B></FONT>emuestre que <I>y</I> es una solución de la ecuación diferencial dada:</div> <div> <A HREF="#1_a" TITLE="Miscelánea 3"><U><IMG SRC="19e001190.gif" border=0 width="257" height="25" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#1_b" TITLE="Miscelánea 3"><U><IMG SRC="19e103180.gif" border=0 width="259" height="24" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="#1_c" TITLE="Miscelánea 3"><U><IMG SRC="19e227180.gif" border=0 width="295" height="24" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP><NOBR><div> <A HREF="#2" TITLE="Miscelánea 3"><U><B><IMG SRC="19e33e420.gif" border=0 width="318" height="66" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=2 HEIGHT= 249 ><NOBR><div> <B>3. </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" > Resuelva la ecuación diferencial por el método de separación de variables:</FONT></div> <div> <A HREF="#3_a" TITLE="Miscelánea 3"><U><IMG SRC="19e4742b0.gif" border=0 width="116" height="43" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>     <A HREF="#3_b" TITLE="Miscelánea 3"><U><IMG SRC="19e5a02b0.gif" border=0 width="160" height="43" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>        <A HREF="#3_c" TITLE="Miscelánea 3"><U><IMG SRC="19e6ed280.gif" border=0 width="237" height="40" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#3_d" TITLE="Miscelánea 3"><U><IMG SRC="19e7d3280.gif" border=0 width="211" height="40" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div>  <A HREF="#4" TITLE="Miscelánea 3"><U><IMG SRC="19e87b880.gif" border=0 width="635" height="136" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> </TABLE></div> <bR> <div> <B>S o l u c i o n e s</B></div> <bR> <div>  <A NAME="1_a"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19e979030.gif" border=0 width="633" height="259" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="1_b"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19ea2bf80.gif" border=0 width="555" height="248" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="1_c"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19eb61eb0.gif" border=0 width="609" height="235" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div> <B> <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B><IMG SRC="19ec596d0.gif" border=0 width="601" height="621" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div>  <A NAME="3_a"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19ed99b10.gif" border=0 width="409" height="177" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="3_b"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19ee99880.gif" border=0 width="665" height="648" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div>  <A NAME="3_c"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19eff4010.gif" border=0 width="500" height="257" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <bR> <div> <B> <A NAME="3_d"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B><IMG SRC="19f085100.gif" border=0 width="645" height="272" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><B><IMG SRC="19f1a1ca0.gif" border=0 width="673" height="970" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></FONT></div> <div> <B><IMG SRC="19f2800d0.gif" border=0 width="640" height="781" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div> <B><IMG SRC="19f334390.gif" border=0 width="308" height="57" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <bR> <bR> </td> </tr><tr> <td valign="top" colspan=2 height=21 BGCOLOR="#006600" TEXT="#F7F7FF"> <div> <A HREF="id389_m.htm#e_n_u_n_c_i_a_d_o_s" TARGET="TRLX_Middle" TITLE="Miscelánea 3"><U><B>Enunciados de los ejercicios</B></U></A></div> </td> </tr></table></body>