{"id":3169,"date":"2024-04-14T21:06:36","date_gmt":"2024-04-14T19:06:36","guid":{"rendered":"https:\/\/mxth.dk\/?p=3169"},"modified":"2026-04-09T22:41:01","modified_gmt":"2026-04-09T20:41:01","slug":"eulers-metode-til-loesning-af-differentialligninger","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=3169","title":{"rendered":"Eulers metode til l\u00f8sning af differentialligninger"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Vi ser her p\u00e5 en anden rekursiv metode, men denne gang til at l\u00f8se differentialligninger. Ikke alle differentialligninger kan vi l\u00f8se analytisk, nogle skal bliver vi n\u00f8d til at l\u00f8se numerisk. Vi ser her p\u00e5 \u00e9n af de metoder, specifikt Eulers metode. <\/p>\n\n\n\n<p class=\" eplus-wrapper\">Herunder er der en video som gennemg\u00e5r Eulers metode.<\/p>\n\n\n\n<figure class=\" wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube eplus-wrapper\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/zd4HG1Xj1p4?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=da-DK&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Der er ogs\u00e5 et ekstra eksempel som ser p\u00e5 en differentialligningen som vi ikke kan l\u00f8se analytsik. <\/p>\n\n\n\n<figure class=\" wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube eplus-wrapper\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/cGQLOEGqCcE?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=da-DK&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n<h2 class=\" wp-block-heading has-system-font-font-family eplus-wrapper eplus-styles-uid-4f3c87\" style=\"font-style:normal;font-weight:200\">Opgaver<\/h2>\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:\/\/mathtxa.systime.dk\/?id=506#c2577\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.31<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mathtxa.systime.dk\/?id=506#c2578\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.32<\/a><\/p>\n      <\/td>\n      <td>\n        <p><a href=\"https:\/\/mathtxa.systime.dk\/?id=506#c2586\" target=\"_blank\" rel=\"noopener noreferrer\">matAhtx 5.33<\/a><\/p>\n      <\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n\n\n\n<p class=\" eplus-wrapper\">Der er en eksamensopgave fra 2021 hvor man skal benytte Eulers metode. Den kan findes <a href=\"https:\/\/www.dropbox.com\/scl\/fi\/6rled9t9pgkk1idanmg73\/Eksamensopgave-2021-Eulers-metode.docx?rlkey=nptqo6i56dinpo1rzt7g6q8yb&amp;dl=1\">her<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vi ser her p\u00e5 en anden rekursiv metode, men denne gang til at l\u00f8se differentialligninger. Ikke alle differentialligninger kan vi l\u00f8se analytisk, nogle skal bliver vi n\u00f8d til at l\u00f8se numerisk. Vi ser her p\u00e5 \u00e9n af de metoder, specifikt Eulers metode. Herunder er der en video som gennemg\u00e5r Eulers metode. Der er ogs\u00e5 et [&hellip;]<\/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":[59,3],"tags":[74],"class_list":["post-3169","post","type-post","status-publish","format-standard","hentry","category-diskret-matematik","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\/3169","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=3169"}],"version-history":[{"count":4,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/3169\/revisions"}],"predecessor-version":[{"id":3174,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/3169\/revisions\/3174"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}