{"id":63,"date":"2017-11-14T12:13:39","date_gmt":"2017-11-14T11:13:39","guid":{"rendered":"http:\/\/clases.jesussoto.es\/?p=63"},"modified":"2017-11-14T12:13:39","modified_gmt":"2017-11-14T11:13:39","slug":"efm-ed-de-segundo-orden","status":"publish","type":"post","link":"https:\/\/curso17.jesussoto.es\/?p=63","title":{"rendered":"EFM: ED de segundo orden"},"content":{"rendered":"<p>Analizamos las ecuaciones diferenciales de segundo orden y, para estudiar unos casos sencillos, empezaremos con la resoluci\u00f3n de dos tipos de ellas:<\/p>\n<ul>\n<li>ecuaciones sin variable dependiente<\/li>\n<li>ecuaciones sin variable independiente<\/li>\n<\/ul>\n<p>Para el primer tipo, ecuaciones de la forma $F(x,y\u2019,y\u201d)=0$, hacemos el cambio $y\u2019=p$, y, $y\u201d=\\frac{dp}{dx}$, obteniendo una funci\u00f3n de primer orden $f(x,p,p\u2019)=0$.<\/p>\n<table id=\"yzpi\" border=\"0\" width=\"677\" cellspacing=\"0\" cellpadding=\"3\" bgcolor=\"#999999\">\n<tbody>\n<tr>\n<td width=\"100%\"><strong>Ejercicio:<\/strong> Resolver la ecuaci\u00f3n yy\u201d+(y\u2019)<sup>2<\/sup>-2yy\u2019=0.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Analizamos las ecuaciones diferenciales de segundo orden y, para estudiar unos casos sencillos, empezaremos con la resoluci\u00f3n de dos tipos de ellas: ecuaciones sin variable dependiente ecuaciones sin variable independiente Para el primer tipo, ecuaciones de la forma $F(x,y\u2019,y\u201d)=0$, hacemos el cambio $y\u2019=p$, y, $y\u201d=\\frac{dp}{dx}$, obteniendo una funci\u00f3n de primer orden $f(x,p,p\u2019)=0$. Ejercicio: Resolver la&hellip; <a class=\"more-link\" href=\"https:\/\/curso17.jesussoto.es\/?p=63\">Seguir leyendo <span class=\"screen-reader-text\">EFM: ED de segundo orden<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[],"_links":{"self":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/63"}],"collection":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=63"}],"version-history":[{"count":1,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/63\/revisions"}],"predecessor-version":[{"id":64,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/63\/revisions\/64"}],"wp:attachment":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=63"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=63"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}