{"id":2978,"date":"2024-01-10T12:31:41","date_gmt":"2024-01-10T11:31:41","guid":{"rendered":"https:\/\/mxth.dk\/?p=2978"},"modified":"2026-04-09T22:41:01","modified_gmt":"2026-04-09T20:41:01","slug":"en-simpel-differentialligning-af-anden-orden","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=2978","title":{"rendered":"En simpel differentialligning af anden orden"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Vi har nu set p\u00e5 en simpel type af en f\u00f8rste ordens differentialligning, nemlig af typen<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\">\\(y\u2019=g(x)\\).<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Vi skal nu se p\u00e5 en differentialligning af anden orden, men vil her ogs\u00e5 se p\u00e5 den simpleste type, nemlig<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\">\\(y\u2019\u2019=g(x)\\).<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Herunder er der en r\u00e6kke opgaver som omhandler differentialligninger af typen \\(y\u2019\u2019=g(x)\\).<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Link til Stenners side: <a href=\"https:\/\/sites.google.com\/view\/stenners-matematik\/differentialligninger#h.p_oAw1ADAj4Rgi\">https:\/\/sites.google.com\/view\/stenners-matematik\/differentialligninger#h.p_oAw1ADAj4Rgi<\/a><\/p>\n\n\n\n<style>\n  table, th, td {\n    border: 1px solid black;\n    border-collapse: collapse;\n  }\n<\/style>\n<table width=\"100%\" border=\"1\">\n  <thead>\n    <tr>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#3CB371\">Gr\u00f8n<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#FFA500\">Gul<\/th>\n      <th scope=\"col\" width=\"33%\" bgcolor=\"#DC143C\">R\u00f8d<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO003\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO003<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO002\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO002<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO001\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO001<\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaverpmtekmatr4\/17-differentialligninger\/typen-y-gx_1\/opgave-533\" target=\"_blank\" rel=\"noopener noreferrer\">PM-533<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO007\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO007<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO004\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO004<\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"\" target=\"_blank\" rel=\"noopener noreferrer\"><\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaverpmtekmatr4\/17-differentialligninger\/typen-y-gx_1\/opgave-534\" target=\"_blank\" rel=\"noopener noreferrer\">PM-534<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO005\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO005<\/a><\/p>\n      <\/td>\n    <\/tr>\n    <tr>\n      <td>\n        <p><a href=\"\" target=\"_blank\" rel=\"noopener noreferrer\"><\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"\" target=\"_blank\" rel=\"noopener noreferrer\"><\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mxth.dk\/?p=626#DLAO006\" target=\"_blank\" rel=\"noopener noreferrer\">DLAO006<\/a><\/p>\n      <\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Vi har nu set p\u00e5 en simpel type af en f\u00f8rste ordens differentialligning, nemlig af typen y\u2019=g(x). Vi skal nu se p\u00e5 en differentialligning af anden orden, men vil her ogs\u00e5 se p\u00e5 den simpleste type, nemlig y\u2019\u2019=g(x). Herunder er der en r\u00e6kke opgaver som omhandler differentialligninger af typen y\u2019\u2019=g(x).<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[24,3],"tags":[74],"class_list":["post-2978","post","type-post","status-publish","format-standard","hentry","category-differentialligninger","category-matematik","tag-htx"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2978"}],"version-history":[{"count":2,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2978\/revisions"}],"predecessor-version":[{"id":3304,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2978\/revisions\/3304"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}