7.1

<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" ><B>Ecuaciones diferenciales</B><B> </B><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="id270.htm" TARGET="_top" TITLE="Transformada de Laplace"><U><B>Transformada de Laplace</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></div> <div> <A HREF="id187.htm" TARGET="_top" TITLE="1.1"><U>1.1</U></A>   |   <A HREF="id282.htm" TARGET="_top" TITLE="Zill 1.2"><U>Zill 1.2</U></A>   |   <A HREF="id283.htm" TARGET="_top" TITLE="1.3"><U>1.3</U></A>   |   <A HREF="id184.htm" TARGET="_top" TITLE="2.2"><U>2.2</U></A>   |   <A HREF="id185.htm" TARGET="_top" TITLE="2.3"><U>2.3</U></A>   |   <A HREF="id186.htm" TARGET="_top" TITLE="2.4"><U>2.4</U></A>   |   <A HREF="id284.htm" TARGET="_top" TITLE="2.5"><U>2.5</U></A>   |   <A HREF="id272.htm" TARGET="_top" TITLE="3.1"><U>3.1</U></A>   |   <A HREF="id279.htm" TARGET="_top" TITLE="4.1"><U>4.1</U></A>   |   <A HREF="id285.htm" TARGET="_top" TITLE="4.2"><U>4.2</U></A>   |   <A HREF="id286.htm" TARGET="_top" TITLE="4.3"><U>4.3</U></A>   |   <A HREF="id287.htm" TARGET="_top" TITLE="4.4"><U>4.4</U></A>   |   <A HREF="id288.htm" TARGET="_top" TITLE="4.5"><U>4.5</U></A>   |   <A HREF="id289.htm" TARGET="_top" TITLE="4.6"><U>4.6</U></A>   |   <B>7.1</B></div> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 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=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <A NAME="top"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>Ejercicios </B><B>7.1</B></div> <div> <B>D</B><B>ef</B><B>inición de la transformada de Laplace</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>Enunciados de los ejercicios</B></div> <bR> <div> <FONT SIZE="4" COLOR="#339900" FACE="Bell MT" ><B>     </B></FONT><FONT SIZE="4" COLOR="#0099CC" 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" >18</FONT> use la definición para hallar la transformada de Laplace de la función dada:</div> <div> <IMG SRC="1529c0390.gif" border=0 width="192" height="57" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">       <IMG SRC="152ad7390.gif" border=0 width="215" height="57" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">           <IMG SRC="152bd5390.gif" border=0 width="213" height="57" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">          </div> <div> <A HREF="#7_1_9" TITLE="7.1"><U><IMG SRC="10ecc97c0.gif" border=0 width="201" height="124" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#9_1_12" TITLE="7.1"><U><IMG SRC="10f1891f0.gif" border=0 width="137" height="31" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <A HREF="#7_1_14" TITLE="7.1"><U><IMG SRC="10f4831c0.gif" border=0 width="131" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <A HREF="#7_1_16" TITLE="7.1"><U><IMG SRC="10f68c1c0.gif" border=0 width="140" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>          <A HREF="#7_1_18" TITLE="7.1"><U><IMG SRC="10f983180.gif" border=0 width="131" height="24" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <B><IMG SRC="10fb6bab0.gif" border=0 width="875" height="171" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div> <A HREF="#7_1_19" TITLE="7.1"><U><B><IMG SRC="10fc711d0.gif" border=0 width="113" height="29" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A><B>          </B><A HREF="#7_1_22" TITLE="7.1"><U><B><IMG SRC="10fe83180.gif" border=0 width="131" height="24" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div> <B>S o l u c i o n e s</B></div> <div>  <A NAME="7_1_1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.1</div> <div> <IMG SRC="10e43ddc0.gif" border=0 width="829" height="476" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.4</div> <div> <IMG SRC="10e63df70.gif" border=0 width="829" height="503" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.6</div> <div> <IMG SRC="10e8dbb10.gif" border=0 width="987" height="689" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_9"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></div> <div> <IMG SRC="10edc97c0.gif" border=0 width="201" height="124" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0">9</div> <div> <IMG SRC="10ee3dd70.gif" border=0 width="829" height="471" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="9_1_12"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>12</div> <div> <IMG SRC="10f0cb330.gif" border=0 width="971" height="307" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_14"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>14</div> <div> <IMG SRC="10f39cbf0.gif" border=0 width="924" height="703" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <bR> <div>  <A NAME="7_1_16"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>16</div> <div> <IMG SRC="10f57fe70.gif" border=0 width="895" height="999" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_18"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.18</div> <div> <IMG SRC="10f87da40.gif" border=0 width="893" height="1188" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_19"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.19</div> <div> <IMG SRC="10fd2bc90.gif" border=0 width="555" height="201" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div>  <A NAME="7_1_22"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7.1.22</div> <div> <IMG SRC="110060bb0.gif" border=0 width="608" height="187" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#top" TITLE="7.1"><U>Arriba</U></A></div> <div> | <A HREF="id187.htm" TARGET="_top" TITLE="1.1"><U>Ejercicios 1.1:</U></A> Definiciones y terminología | <A HREF="id184.htm" TARGET="_top" TITLE="2.2"><U>Ejercicios 2.2:</U></A> Variables separables | <A HREF="id185.htm" TARGET="_top" TITLE="2.3"><U>Ejercicios 2.3:</U></A> Ecuaciones lineales |</div> <div> | <A HREF="id186.htm" TARGET="_top" TITLE="2.4"><U>Ejercicios 2.4:</U></A> Ecuaciones exactas | <A HREF="id272.htm" TARGET="_top" TITLE="3.1"><U>Ejercicios 3.1</U></A><A HREF="id184.htm" TARGET="_top" TITLE="2.2"><U>:</U></A> Modelos lineales |</div> <div> | <A HREF="id279.htm" TARGET="_top" TITLE="4.1"><U>Ejercicios 4.1</U></A>: Teoría preliminar: Ecuaciones lineales | <A HREF="id271.htm" TARGET="_top" TITLE="7.1"><U>Ejercicios 7.1</U></A>:  Definición de la transformada de Laplace |</div> <bR> <div>  <script async 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