{"id":4837,"date":"2014-02-10T06:00:14","date_gmt":"2014-02-09T21:00:14","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=4837"},"modified":"2014-09-10T16:44:40","modified_gmt":"2014-09-10T07:44:40","slug":"post-4837","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4837","title":{"rendered":"<em>n<\/em>\u968e\u306e\u4e00\u822c\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u3000<em>n<\/em> \u968e\u306e\u4e00\u822c\u7684\u306a\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u5f62\u3092\u53d6\u308a\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+a_0%28x%29%5Cfrac%7Bd%5Eny%7D%7Bdx%5En%7D+%2B+a_1%28x%29%5Cfrac%7Bd%5E%7Bn-1%7Dy%7D%7Bdx%5E%7Bn-1%7D%7D+%2B+%5Ccdots+%2B+a_%7Bn-1%7D%28x%29%5Cfrac%7Bdy%7D%7Bdx%7D+%2B+a_n%28x%29y+%3D+R%28x%29%5C+%5C+%5C+%281%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle a_0(x)\\frac{d^ny}{dx^n} + a_1(x)\\frac{d^{n-1}y}{dx^{n-1}} + \\cdots + a_{n-1}(x)\\frac{dy}{dx} + a_n(x)y = R(x)\\ \\ \\ (1)' title='\\displaystyle a_0(x)\\frac{d^ny}{dx^n} + a_1(x)\\frac{d^{n-1}y}{dx^{n-1}} + \\cdots + a_{n-1}(x)\\frac{dy}{dx} + a_n(x)y = R(x)\\ \\ \\ (1)' class='latex' \/><\/p>\n<p>\u3000\u3053\u306e\u5f62\u3067\u66f8\u3051\u306a\u3044\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f<em>\u975e\u7dda\u5f62<\/em>\u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+x%5Cfrac%7Bd%5E2y%7D%7Bdx%5E2%7D+%2B+3%5Cfrac%7Bdy%7D%7Bdx%7D+-+2xy+%3D+%5Csin+x&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} - 2xy = \\sin x' title='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} - 2xy = \\sin x' class='latex' \/> \u306f 2 \u968e\u306e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3059\uff0e <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+y%5Cfrac%7Bd%5E2y%7D%7Bdx%5E2%7D+-+x%5Cleft%28%5Cfrac%7Bdy%7D%7Bdx%7D%5Cright%29%5E2+%2B+x%5E2y+%3D+e%5E%7B-x%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle y\\frac{d^2y}{dx^2} - x\\left(\\frac{dy}{dx}\\right)^2 + x^2y = e^{-x}' title='\\displaystyle y\\frac{d^2y}{dx^2} - x\\left(\\frac{dy}{dx}\\right)^2 + x^2y = e^{-x}' class='latex' \/> \u306f 2 \u968e\u306e\u975e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3059\uff0e<\/p>\n<p>\u3000\u4eee\u306b\u5f0f (1) \u306e\u53f3\u8fba <em>R(x)<\/em> \u3092\u30bc\u30ed\u306b\u7f6e\u63db\u3057\u305f\u5834\u5408\u305d\u306e\u65b9\u7a0b\u5f0f\u306f<em>\u76f8\u88dc<\/em>\uff0c<em>\u7e2e\u7d04<\/em>\u307e\u305f\u306f<em>\u540c\u6b21<\/em>\u65b9\u7a0b\u5f0f\u3068\u547c\u3070\u308c\u307e\u3059\uff0e\u4eee\u306b <em>R(x)<\/em> &ne; 0 \u306e\u6642\uff0c\u305d\u306e\u65b9\u7a0b\u5f0f\u306f <em>\u5b8c\u5168<\/em> \u307e\u305f\u306f <em>\u975e\u540c\u6b21<\/em> \u65b9\u7a0b\u5f0f\u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/p>\n<p>\u3000\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+x%5Cfrac%7Bd%5E2y%7D%7Bdx%5E2%7D+%2B+3%5Cfrac%7Bdy%7D%7Bdx%7D+-2xy+%3D%5Csin+x&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} -2xy =\\sin x' title='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} -2xy =\\sin x' class='latex' \/> \u304c\u5b8c\u5168\u65b9\u7a0b\u5f0f\u306e\u6642\uff0c\u3086\u3048\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+x%5Cfrac%7Bd%5E2y%7D%7Bdx%5E2%7D+%2B+3%5Cfrac%7Bdy%7D%7Bdx%7D+-+2xy+%3D+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} - 2xy = 0' title='\\displaystyle x\\frac{d^2y}{dx^2} + 3\\frac{dy}{dx} - 2xy = 0' class='latex' \/> \u306f\u5bfe\u5fdc\u3059\u308b\u76f8\u88dc\uff0c\u7e2e\u7d04\u307e\u305f\u306f\u540c\u6b21\u65b9\u7a0b\u5f0f\u3067\u3059\uff0e<\/p>\n<p>\u3000\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=a_0%28x%29%5C%2C+%5Ccdots+%5C%2Ca_n%28x%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='a_0(x)\\, \\cdots \\,a_n(x)' title='a_0(x)\\, \\cdots \\,a_n(x)' class='latex' \/> \u304c\u5168\u3066\u5b9a\u6570\u306e\u6642\uff0c (1) \u306f <em>constant coefficient<\/em> \u3092\u6301\u3064\u3068\u8a00\u308f\u308c\uff0c\u305d\u3046\u3067\u306a\u3051\u308c\u3070 <em>\u5909\u6570\u4fc2\u6570<\/em> \u3092\u6301\u3064\u3068\u8a00\u308f\u308c\u307e\u3059\uff0e<\/p>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u3000n \u968e\u306e\u4e00\u822c\u7684\u306a\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u5f62\u3092\u53d6\u308a\u307e\u3059\uff0e \u3000\u3053\u306e\u5f62\u3067\u66f8\u3051\u306a\u3044\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u975e\u7dda\u5f62\u3068\u547c\u3070\u308c\u307e\u3059\uff0e \u306f 2 \u968e\u306e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3059\uff0e \u306f 2 \u968e\u306e\u975e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u3059\uff0e \u3000\u4eee\u306b\u5f0f (1) \u306e\u53f3\u8fba R(x) \u3092\u30bc\u30ed\u306b &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4837\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;<em>n<\/em>\u968e\u306e\u4e00\u822c\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":6040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4837","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4837","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4837"}],"version-history":[{"count":9,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4837\/revisions"}],"predecessor-version":[{"id":6792,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4837\/revisions\/6792"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/media\/6040"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4837"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4837"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}