{"id":2395,"date":"2023-04-13T10:36:30","date_gmt":"2023-04-13T01:36:30","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2395"},"modified":"2023-07-13T16:13:45","modified_gmt":"2023-07-13T07:13:45","slug":"maxima-jupyter-%e3%81%a6%e3%82%99%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\/maxima-%e3%81%a7%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6c\/maxima-jupyter-%e3%81%a6%e3%82%99%e5%b8%b8%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e5%bc%8f\/","title":{"rendered":"Maxima \u3066\u3099\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f"},"content":{"rendered":"

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\u5909\u6570\u5206\u96e2\u6cd5<\/h3>\n

\u4f8b\u984c<\/h4>\n

$$ \\frac{dy}{dx} = – 2 x\\, y $$<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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\u89e3\u304f\u3079\u304d\u65b9\u7a0b\u5f0f\u3092\uff0c\u5909\u6570 eq<\/code> \u306b\u4ee3\u5165\u3057\u307e\u3059\u3002diff()<\/code> \u306fMaxima \u3067\u5fae\u5206\u3092\u884c\u3046\u95a2\u6570\u3067\u3059\u304c\uff0c\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u5b9a\u7fa9\u3059\u308b\u3068\u304d\u306f '<\/code> \u3067\u59cb\u307e\u308b\u306e\u304c\u5927\u4e8b\u3067\u3059\u3002<\/p>\n

'diff(y, x)<\/code> \u3067\u306f\u306a\u304f\uff0cdiff(y, x)<\/code> \u3068 '<\/code> \u3092\u6700\u521d\u306b\u3064\u3051\u308b\u306e\u3092\u5fd8\u308c\u308b\u3068\u3069\u3046\u306a\u308b\u304b\u3068\u3044\u3046\u3068…<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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In\u00a0[1]:<\/div>\n
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diff<\/span>(<\/span>y<\/span>, x<\/span>)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[1]:<\/div>\n
\\[\\tag{${\\it \\%o}_{1}$}0\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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\/* \u89e3\u304f\u3079\u304d\u65b9\u7a0b\u5f0f\u3092\uff0c\u5909\u6570 eq \u306b\u4ee3\u5165\u3002*\/<\/span>\r\n\r\neq<\/span>:<\/span> '<\/span>diff<\/span>(<\/span>y<\/span>, x<\/span>)<\/span> =<\/span> -<\/span>2*<\/span>x<\/span>*<\/span>y<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[2]:<\/div>\n
\\[\\tag{${\\it \\%o}_{2}$}\\frac{d}{d\\,x}\\,y=-2\\,x\\,y\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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\/* \u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u95a2\u6570\u306f ode2() \u3002*\/<\/span>\r\node2<\/span>(<\/span>eq<\/span>, y<\/span>, x<\/span>)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[3]:<\/div>\n
\\[\\tag{${\\it \\%o}_{3}$}y={\\it \\%c}\\,e^ {- x^2 }\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u4e0a\u8a18\u306e\u7b54\u3048\u306e %c<\/code> \u306f\u7a4d\u5206\u5b9a\u6570 $C$ \u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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\u30de\u30eb\u30b5\u30b9\u306e\u4eba\u53e3\u30e2\u30c7\u30eb<\/h3>\n
$$\\frac{dN}{dt} = \\gamma \\, N$$<\/p>\n
\u3092\u521d\u671f\u6761\u4ef6 $t = t_0$ \u3067 $N(t_0) = N_0$ \u3068\u3057\u3066\u89e3\u304f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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eq2<\/span>:<\/span> '<\/span>diff<\/span>(<\/span>N<\/span>, t<\/span>)<\/span> =<\/span> gamma<\/span> *<\/span> N<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[4]:<\/div>\n
\\[\\tag{${\\it \\%o}_{4}$}\\frac{d}{d\\,t}\\,N=N\\,\\gamma\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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ode2<\/span>(<\/span>eq2<\/span>, N<\/span>, t<\/span>)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[5]:<\/div>\n
\\[\\tag{${\\it \\%o}_{5}$}N={\\it \\%c}\\,e^{t\\,\\gamma}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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\/* 1\u968e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u521d\u671f\u6761\u4ef6 *\/<\/span>\r\n\r\nic1<\/span>(<\/span>%<\/span>, t<\/span> =<\/span> t0<\/span>, N<\/span> =<\/span> N0<\/span>)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Out[6]:<\/div>\n
\\[\\tag{${\\it \\%o}_{6}$}N=N_{0}\\,e^{t\\,\\gamma-t_{0}\\,\\gamma}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u53c2\u8003\uff1a\u7c73\u56fd\u306e\u4eba\u53e3\u3068\u30de\u30eb\u30b5\u30b9\u30e2\u30c7\u30eb<\/h4>\n