{"id":2263,"date":"2022-02-24T18:33:22","date_gmt":"2022-02-24T09:33:22","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2263"},"modified":"2022-02-25T17:01:09","modified_gmt":"2022-02-25T08:01:09","slug":"%e5%8f%82%e8%80%83%ef%bc%9a1%e6%ac%a1%e7%8b%ac%e7%ab%8b%e3%81%aa%e8%a7%a3%e3%81%a8%e3%83%ad%e3%83%b3%e3%82%b9%e3%82%ad%e3%82%a2%e3%83%b3","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6c\/%e5%b8%b8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e5%bc%8f\/%e6%9c%80%e3%82%82%e7%b0%a1%e5%8d%98%e3%81%aa%e5%ae%9a%e6%95%b0%e4%bf%82%e6%95%b02%e9%9a%8e%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e5%bc%8f\/%e5%8f%82%e8%80%83%ef%bc%9a1%e6%ac%a1%e7%8b%ac%e7%ab%8b%e3%81%aa%e8%a7%a3%e3%81%a8%e3%83%ad%e3%83%b3%e3%82%b9%e3%82%ad%e3%82%a2%e3%83%b3\/","title":{"rendered":"\u53c2\u8003\uff1a1\u6b21\u72ec\u7acb\u306a\u89e3\u3068\u30ed\u30f3\u30b9\u30ad\u30a2\u30f3"},"content":{"rendered":"<p><!--more--><\/p>\n<p id=\"yui_3_17_2_1_1645695094663_1379\">2\u3064\u306e\u95a2\u6570\uff08\u3042\u308b\u3044\u306f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\uff09\u304c<span style=\"font-family: helvetica, arial, sans-serif\"><u><b>1\u6b21\u72ec\u7acb<\/b><\/u><\/span>\u3067\u3042\u308b\u3068\u306f\uff0c\u3069\u3046\u3044\u3046\u3053\u3068\u304b\uff1f <span style=\"font-family: helvetica, arial, sans-serif\"><u><b>1\u6b21\u72ec\u7acb<\/b><\/u><\/span>\u3067\u3042\u308b\u305f\u3081\u306e\u6761\u4ef6\u3068\u306f\uff1f<\/p>\n<h3 id=\"yui_3_17_2_1_1645695094663_1494\">1\u6b21\u72ec\u7acb\u3067\u3042\u308b\u3053\u3068\u306e\u5b9a\u7fa9<\/h3>\n<p>2\u3064\u306e\u95a2\u6570 \\(y_1\\) \u3068 \\(y_2\\) \u304c<span style=\"font-family: helvetica, arial, sans-serif\"><u><b>1\u6b21\u72ec\u7acb<\/b><\/u><\/span>\u3067\u3042\u308b\u3068\u306f\uff0c\u7c21\u5358\u306b\u3044\u3046\u3068\uff0c\u4e00\u65b9\u306e\u95a2\u6570\u304c\u3082\u3046\u4e00\u65b9\u306e\u95a2\u6570\u306b\u6bd4\u4f8b\u3057\u3066\u3044\u308b\u3088\u3046\u306a\u95a2\u4fc2\u306b\u306a\u3044\uff0c\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n<p>\u3082\u3046\u5c11\u3057\uff0c\u305d\u308c\u3089\u3057\u304f\u8a00\u3044\u76f4\u3059\u3068<\/p>\n<p>$$ C_1 y_1 + C_2 y_2 = 0$$<\/p>\n<p>\u3092\u6e80\u305f\u3059\u4fc2\u6570\u304c \\(C_1 = 0, C_2 = 0\\) \u4ee5\u5916\u306b\u5b58\u5728\u3057\u306a\u3044\u3068\u304d\uff0c2\u3064\u306e\u95a2\u6570 \\(y_1\\) \u3068 \\(y_2\\) \u306f<span style=\"font-family: helvetica, arial, sans-serif\"><u><b>1\u6b21\u72ec\u7acb<\/b><\/u><\/span>\u3067\u3042\u308b\u3068\u3044\u3046\u3002<\/p>\n<h3>\u30ed\u30f3\u30b9\u30ad\u30fc\u884c\u5217\u5f0f\uff08Wronski determinant, Wronskian\uff09<\/h3>\n<p>2\u3064\u306e\u95a2\u6570 \\( y_1(x), y_2(x) \\) \u304c1\u6b21\u72ec\u7acb\u304b\u3069\u3046\u304b\u3092\u5224\u5b9a\u3059\u308b\u91cf\u3068\u3057\u3066\uff0c<span style=\"font-family: helvetica, arial, sans-serif\"><b>\u30ed\u30f3\u30b9\u30ad\u30fc\u884c\u5217\u5f0f<\/b><\/span>\uff08\u4ee5\u4e0b\uff0c<span style=\"font-family: helvetica, arial, sans-serif\"><b>\u30ed\u30f3\u30b9\u30ad\u30a2\u30f3<\/b><\/span>\uff1a<strong>Wronskian<\/strong>\uff09\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308b\u3002<\/p>\n<p>\u30ed\u30f3\u30b9\u30ad\u30a2\u30f3\u3068\u306f\uff0c2\u3064\u306e\u95a2\u6570 \\( y_1(x), y_2(x) \\) \u304a\u3088\u3073\u305d\u306e\u5fae\u5206 \\( y&#8217;_1(x), y&#8217;_2(x) \\) \u304b\u3089\u4f5c\u3089\u308c\u308b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u884c\u5217\u5f0f \\( W(y_1, y_2) \\) \u306e\u3053\u3068\uff1a<\/p>\n<p>$$W(y_1, y_2) \\equiv\\det\\begin{pmatrix}<br \/>\ny_1 &amp; y_2 \u00a0 \\\\<br \/>\ny&#8217;_1 &amp; y&#8217;_2 \\\\<br \/>\n\\end{pmatrix} = y_1 y&#8217;_2 &#8211; y_2 y&#8217;_1$$<\/p>\n<p>\u3053\u306e<span style=\"font-family: helvetica, arial, sans-serif\"><b>\u30ed\u30f3\u30b9\u30ad\u30a2\u30f3\u304c\u30bc\u30ed\u3067\u306a\u3044\u3068\u304d<\/b><\/span>\uff0c\u3064\u307e\u308a \\( W(y_1, y_2) \\neq 0\\) \u306e\u3068\u304d\uff0c2\u3064\u306e\u95a2\u6570 \\( y_1(x), y_2(x) \\) \u306f<span style=\"font-family: helvetica, arial, sans-serif\"><b>1\u6b21\u72ec\u7acb\u3067\u3042\u308b<\/b><\/span>\u3068\u3044\u3046\u3002\u305d\u3046\u3067\u306a\u3044\u3068\u304d\uff0c\u3064\u307e\u308a \\( W(y_1, y_2) = 0\\) \u306a\u30892\u3064\u306e\u95a2\u6570 \\( y_1(x), y_2(x) \\) \u306f<span style=\"font-family: helvetica, arial, sans-serif\"><b>1\u6b21\u5f93\u5c5e<\/b><\/span>\u3067\u3042\u308b\uff0c\u3068\u3044\u3046\u8a00\u3044\u65b9\u3092\u3059\u308b\u3002<\/p>\n<p>\u3053\u306e\u8a3c\u660e\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3059\u308b\u3002<\/p>\n<p>\u3082\u3057 \\( y_1(x), y_2(x) \\) \u304c1\u6b21\u72ec\u7acb\u3067\u306f\u306a\u3044\u306a\u3089\uff08\u3064\u307e\u308a\uff0c\u4e00\u6b21\u5f93\u5c5e\u306a\u3089\uff09<\/p>\n<p>$$ C_1 y_1 + C_2 y_2 = 0$$<\/p>\n<p>\u3092\u307f\u305f\u3059\u30bc\u30ed\u3067\u306f\u306a\u3044 \\( C_1, C_2 \\) \u304c\u5b58\u5728\u3059\u308b\u3002\u3053\u306e\u4e21\u8fba\u3092\u5fae\u5206\u3057\u3066\uff0c\u3055\u3089\u306b \\( C_1 y_1 \\) \u3092\u304b\u3051\u308b\u3068<\/p>\n<p>$$ C_1 C_2 y_1 y&#8217;_2 + C_1 C_1 y_1 y&#8217;_1 = 0 $$<\/p>\n<p>\\( C_1 y_1 = &#8211; C_2 y_2 \\) \u3092\u4ee3\u5165\u3057\u3066\uff0c\\( C_1 C_2 \\) \u3067\u304f\u304f\u308b\u3068<\/p>\n<p>$$ C_1 C_2 \\left( y_1 y&#8217;_2 &#8211; y_2 y&#8217;_1\\right) = 0$$<\/p>\n<p>\\( C_1 C_2 \\neq 0 \\) \u3060\u304b\u3089\uff0c\\(W(y_1, y_2) = 0 \\) \u304c\u4e00\u6b21\u5f93\u5c5e\u3067\u3042\u308b\u305f\u3081\u306e\u6761\u4ef6\u3068\u3057\u3066\u3067\u3066\u304f\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":2259,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2263","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2263","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=2263"}],"version-history":[{"count":2,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2263\/revisions"}],"predecessor-version":[{"id":2305,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2263\/revisions\/2305"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2259"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}