{"id":2224,"date":"2022-02-24T17:33:10","date_gmt":"2022-02-24T08:33:10","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2224"},"modified":"2023-04-10T13:28:19","modified_gmt":"2023-04-10T04:28:19","slug":"%e5%b8%b8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e5%bc%8f","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\/","title":{"rendered":"\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f"},"content":{"rendered":"<p><!--more--><\/p>\n<h3>\u5fae\u5206\u65b9\u7a0b\u5f0f\u3068\u306f\uff1f\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u306f\uff1f<\/h3>\n<p id=\"yui_3_17_2_1_1645691692163_1211\">\u6b21\u306e\u3088\u3046\u306a\u30af\u30a4\u30ba\u3092\u8003\u3048\u308b\u3002<\/p>\n<div>\n<p>\u3042\u308b\u95a2\u6570\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u95a2\u6570\u3092\\(x\\)\u3067\u5fae\u5206\u3059\u308b\u3068\uff0c\\(\\cos x\\) \u306b\u306a\u308a\u307e\u3057\u305f\u3002\u3055\u3066\uff0c\u305d\u306e\u95a2\u6570\u3068\u306f\u4e00\u4f53\u306a\u3093\u3067\u3057\u3087\u3046\uff1f<\/p>\n<\/div>\n<p>\u3053\u306e\u30af\u30a4\u30ba\u306b\u7b54\u3048\u308b\u3053\u3068\uff0c\u3053\u308c\u304c<span style=\"font-family: helvetica, arial, sans-serif;\"><b>\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f<\/b><\/span>\uff0c\u3068\u3044\u3046\u3053\u3068\u3002<\/p>\n<p id=\"yui_3_17_2_1_1645691692163_1285\">\u73fe\u5b9f\u306e\u4eba\u751f\u3067\u96e3\u3057\u3044\u306e\u306f\uff0c\u6587\u7ae0\u984c\u3092\u89e3\u3051\u308b\u5f62\u306e\u5f0f\u306b\u3059\u308b\u3053\u3068\u3002\u3084\u3063\u3066\u307f\u307e\u3059\u3002<\/p>\n<h4>\u89e3\u7b54\u4f8b\uff1a<\/h4>\n<p>\u6c42\u3081\u308b\u95a2\u6570\u3092 \\(y(x)\\) \u3068\u304a\u304f\u3002\u984c\u610f\u3088\u308a<\/p>\n<p>\\[<br \/>\n\\frac{dy}{dx} = \\cos x<br \/>\n\\]<\/p>\n<p>\u3053\u308c\u304c<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u5fae\u5206\u65b9\u7a0b\u5f0f<\/strong><\/span>\u3002\u672a\u77e5\u95a2\u6570 \\(y \\)\u306e1\u968e\u5fae\u5206\u3092\u542b\u3080\u304b\u3089<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>1\u968e<\/strong><\/span>\u3002\\(y\\) \u306b\u3064\u3044\u3066\u7dda\u5f62\u3060\u304b\u3089\uff08\\(y\\)\u306e1\u4e57\u306e\u307f\u3092\u542b\u3080\u304b\u3089\uff09<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u7dda\u5f62<\/strong><\/span>\u3002\u5fae\u5206\u306f \\(x\\) \u306e\u307f\u306b\u3064\u3044\u3066\u306e<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u5e38\u5fae\u5206<\/strong><\/span> \\(\\frac{d}{dx}\\) \u3060\u304b\u3089\uff0c\u6700\u7d42\u7684\u306b<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>1\u968e\u7dda\u5f62\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f<\/strong><\/span>\u3002\uff08\u300c\u5e38\u5fae\u5206\u300d\u3068\u306f\u805e\u304d\u306a\u308c\u306a\u3044\u8a00\u8449\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\uff0c\u4eca\u5f8c\u7fd2\u3046\u3067\u3042\u308d\u3046\u591a\u5909\u6570\u95a2\u6570\u306e\u5fae\u5206\u3067\u3042\u308b\u300c\u504f\u5fae\u5206\u300d\u3068\u533a\u5225\u3059\u308b\u305f\u3081\u306b\u4f7f\u308f\u308c\u308b\u7528\u8a9e\u3002\uff09<\/p>\n<h4>\u3069\u3046\u3084\u3063\u3066\u89e3\u304f\u304b<\/h4>\n<p>\uff08\u3053\u306e\u3088\u3046\u306a\u7c21\u5358\u306a\u5834\u5408\u306f\uff09\u4e21\u8fba\u3092\\(x\\)\u3067\u7a4d\u5206\u3057\u307e\u3059\u3002<\/p>\n<p>\\[<br \/>\n\\int \\frac{dy}{dx} \\,dx = \\int \\cos x\\,dx<br \/>\n\\]<\/p>\n<p>\u3053\u308c\u306f\u3059\u3050\u306b\u7a4d\u5206\u3067\u304d\u3066\uff0c<\/p>\n<p>\\[ y = \\sin x + C \\]<\/p>\n<p>\u3053\u3053\u3067\uff0c\\(C\\)\u306f\u7a4d\u5206\u5b9a\u6570\u3002\u3053\u306e\u7a4d\u5206\u5b9a\u6570\u3092\u542b\u3080\u89e3\u306e\u3053\u3068\u3092\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e<span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u4e00\u822c\u89e3<\/strong><\/span>\u3068\u3044\u3046\u3002<\/p>\n<h4>\u7a4d\u5206\u5b9a\u6570<\/h4>\n<p>\u7a4d\u5206\u5b9a\u6570\u306f\u4efb\u610f\u306e\u5024\u3092\u3068\u308a\u3046\u308b\u3002\uff08\u3069\u3093\u306a\u5b9a\u6570\u306e\u5024\u3060\u3063\u3066\u5fae\u5206\u3057\u305f\u3089\u30bc\u30ed\u3060\u304b\u3089\u3002\uff09\u3053\u306e\u7a4d\u5206\u5b9a\u6570\u3092\u4e00\u610f\u306b\u6c7a\u3081\u308b\u306e\u306b\uff0c\u521d\u671f\u6761\u4ef6\u3068\u304b\u5883\u754c\u6761\u4ef6\u3068\u304b\u8a00\u308f\u308c\u308b\u6761\u4ef6\u3092\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p>\u4f8b\u3048\u3070\uff0c\u4e0a\u306e\u4f8b\u3067\uff0c\u521d\u671f\u6761\u4ef6\u3068\u3057\u3066 \\( x = 0\\) \u306e\u3068\u304d\u306e \\(y\\) \u306e\u5024\u304c \\(y(0) = 0\\) \u3067\u3042\u308b\u3068\u3059\u308b\u3068\uff0c\\( C = 0\\) \u3068\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p>\n<h4>\u5358\u306b\u4e21\u8fba\u3092\u7a4d\u5206\u3059\u308c\u3070\u3088\u3044\u3068\u3044\u3046\u3082\u306e\u3067\u306f\u306a\u3044<\/h4>\n<p>\u6b21\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u3051\u3002<\/p>\n<p>\\[ \\frac{dy}{dx} = &#8211; 2 x\\, y \\]<\/p>\n<p>\u60aa\u3044\u4f8b\uff08\u3053\u308c\u3060\u3068\u3046\u307e\u304f\u89e3\u3051\u306a\u3044\u4f8b\uff09\uff1a<\/p>\n<p>\u3053\u308c\u3082\u4e21\u8fba\u3092\\(x\\)\u3067\u7a4d\u5206\u3059\u308b\u3068&#8230;<\/p>\n<p>\\[ \\int \\frac{dy}{dx} \\,dx = &#8211; 2\\int x\\,y \\, dx \\]<\/p>\n<p>\u5de6\u8fba\u306f \\(y\\)\uff0c\u53f3\u8fba\u306f&#8230; \u3063\u3066\u672a\u77e5\u306e\uff08\u3053\u308c\u304b\u3089\u6c42\u3081\u308b\uff09\u95a2\u6570 \\(y\\) \u304c\u5165\u3063\u3066\u3044\u308b\u306e\u3067\u7a4d\u5206\u3067\u304d\u307e\u305b\u3093\u3002\u3064\u307e\u308a\uff0c\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u4e21\u8fba\u3092\u7a4d\u5206\u3059\u308c\u3070\u7c21\u5358\u306b\u89e3\u3051\u308b&#8230; 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