{"id":2236,"date":"2022-02-24T17:42:35","date_gmt":"2022-02-24T08:42:35","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2236"},"modified":"2024-07-11T09:45:17","modified_gmt":"2024-07-11T00:45:17","slug":"%e5%a4%89%e6%95%b0%e5%88%86%e9%9b%a2%e6%b3%95","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\/%e5%a4%89%e6%95%b0%e5%88%86%e9%9b%a2%e6%b3%95\/","title":{"rendered":"\u5909\u6570\u5206\u96e2\u6cd5"},"content":{"rendered":"<p>\u5909\u6570\u5206\u96e2\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3068\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3002<\/p>\n<p>\\[ \\frac{dy}{dx} = X(x) \\, Y(y) \\]<\/p>\n<p>\u3053\u306e\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\uff0c<span style=\"font-family: helvetica, arial, sans-serif;\"><u><b>\u5909\u6570\u5206\u96e2\u6cd5<\/b><\/u><\/span>\u3068\u547c\u3070\u308c\u308b\u65b9\u6cd5\u306b\u3088\u3063\u3066\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<!--more--><br \/>\n\u7c21\u5358\u306b\u8a00\u3046\u3068\uff0c\\(y\\)\u3092\u542b\u3080\u3082\u306e\u306f\u5168\u3066\u5de6\u8fba\u306b\uff0c\\(x\\) \u3092\u542b\u3080\u3082\u306e\uff08\\(y\\) \u3092\u542b\u307e\u306a\u3044\u3082\u306e\uff09\u306f\u5168\u3066\u53f3\u8fba\u306b\u3082\u3063\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\uff0c<\/p>\n<p>\\[ \\frac{1}{Y(y)} \\frac{dy}{dx} = X(x) \\]<\/p>\n<p>\u6b21\u306b\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><b>\u4e21\u8fba\u306b \\(dx\\) \u3068\\(\\int\\) \u3092\u304b\u3051\u307e\u3059<\/b><\/span>\u300d\u3002(\u9ad8\u6821\u3067\u306f\\(\\frac{dy}{dx}\\) \u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><b>\u5206\u6570\u3067\u306f\u306a\u3044<\/b><\/span>\u300d\u3068\u7fd2\u3063\u305f\u3068\u601d\u3044\u307e\u3059\u304c\uff0c\u5927\u5b66\u3067\u306f\u300c<span style=\"font-family: helvetica, arial, sans-serif;\"><b>\u5206\u6570\u3060\u3068\u601d\u3063\u3066\u3088\u3044<\/b><\/span>\u300d\u3067\u3059\u3002\uff09<\/p>\n<p>\\[<br \/>\n\\int \\frac{dy}{Y(y)} = \\int X(x) \\, dx<br \/>\n\\]<\/p>\n<h4>\u5909\u6570\u5206\u96e2\u6cd5\u3067\u4f8b\u984c\u3092\u89e3\u304f<\/h4>\n<p>\u4f8b\u984c\u3092\u5909\u6570\u5206\u96e2\u6cd5\u3067\u89e3\u3044\u3066\u307f\u307e\u3059\u3002\u81ea\u7136\u5bfe\u6570\u3092 $\\ln $\u00a0 \u3068\u66f8\u3044\u3066\u3044\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002$\\ln y = \\log_e y = \\log y$ \u3067\u3059\u3002<\/p>\n<p>\\[ \\frac{dy}{dx} = &#8211; 2 x\\, y \\]<\/p>\n<p>\\[ \\frac{dy}{y} = -2 x \\, dx \\]<\/p>\n<p>\\[\\int \\frac{dy}{y} = &#8211; 2 \\int x \\, dx \\]<\/p>\n<p>\\[ \\ln y = &#8211; x^2 + C \\]<\/p>\n<p>\\[ \\therefore \\ y = e^{-x^2 + C} = e^C\\, e^{- x^2}\\]<\/p>\n<p>\\( e^C\\) \u3092\u65b0\u305f\u306b \\(C\\) \u3068\u304a\u304d\u306a\u304a\u3059\u3068\uff08\u4efb\u610f\u306e\u7a4d\u5206\u5b9a\u6570\u3067\u3042\u308b\u306e\u3067\u3002\u6df7\u4e71\u3057\u305d\u3046\u306a\u4eba\u306f \\(e^C \\equiv C&#8217; \\) \u3068\u3067\u3082\u66f8\u304d\u307e\u3057\u3087\u3046\u3002\uff09\uff0c\u7b54\u3048\u306f<\/p>\n<p>\\[ y = C\\, e^{-x^2} \\]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5909\u6570\u5206\u96e2\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3068\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3002<\/p>\n<p>\\[ \\frac{dy}{dx} = X(x) \\, Y(y) \\]<\/p>\n<p>\u3053\u306e\u5f62\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\uff0c\u5909\u6570\u5206\u96e2\u6cd5\u3068\u547c\u3070\u308c\u308b\u65b9\u6cd5\u306b\u3088\u3063\u3066\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p><p><a class=\"more-link btn\" href=\"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\/%e5%a4%89%e6%95%b0%e5%88%86%e9%9b%a2%e6%b3%95\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":2224,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2236","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\/2236","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=2236"}],"version-history":[{"count":5,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2236\/revisions"}],"predecessor-version":[{"id":9214,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2236\/revisions\/9214"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2224"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}