Differentialligninger:Maple anvender "dsolve" (differential equation solver) til at l\303\270se differentialligninger.http://www.maplesoft.com/support/help/Maple/view.aspx?path=dsolveDifferentialligningAntag at man skal finde den fuldst\303\246ndige l\303\270sning til differentialligningen 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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Maple antages indirekte, at y afh\303\246nger af x.NB: _C1 er en vilk\303\245rlig konstant. De opnumereres l\303\270bende (den n\303\246ste hedder _C2).S\303\245 svaret skrives i konklusionen som:Den fuldst\303\246ndige l\303\270sning er: 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, hvor 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: Der er alts\303\245 uendelig mange l\303\270sninger.Alternativ 1:Definer differentialligningen f\303\270rst, og l\303\270s den s\303\245: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnZHNvbHZlRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEpRGlmZkxpZ25GJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1GLDYjUSFGJ0Y9RkA=Alternativ 2:Man kan ogs\303\245 l\303\270se differentialligningen ved at indskrive den, og s\303\245 h\303\270jreklikke, og v\303\246lge "Solve DE" (Differential Equation) mht. "y(x)":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 3:\303\230nsker man at anvende skrivem\303\245den 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 frem for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiJ0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictRjk2LlEiPUYnRjJGPEY+RkBGQkZERkZGSEZKL0ZNUSwwLjI3Nzc3NzhlbUYnL0ZQRlYtSSNtbkdGJDYlUSIyRidGMkY8LUY5Ni5RJyZzZG90O0YnRjJGPEY+RkBGQkZERkZGSEZKL0ZNRlFGT0YrRjJGPA== skal man indskrive det via skabelonen 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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIkUyVGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQhUkYqLSUpQ0hJTERSRU5HNiI= fra Expression-paletten.
Og man skal huske at have den uafh\303\246ngige parameter (her x) i parentes, hver gang y optr\303\246der: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Differentialligning med begyndelsesbetingelseHvis der tillige er en begyndelsesbetingelse, s\303\245 defineres den f\303\270rst.
Her kr\303\246ves, at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtSSNtbkdGJDYlUSIxRidGMi9GNlEnbm9ybWFsRidGMkZBRjJGQS1JI21vR0YkNi5RIj1GJ0YyRkEvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZXLUY+NiVRIjNGJ0YyRkFGMkZB , dvs. at l\303\270sningen g\303\245r gennem punktet (1,3).LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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L\303\246g m\303\246rke til, at der nu skal placeres kr\303\270lparenteser { .. } for at holde sammen p\303\245 udtrykket: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: Der er alts\303\245 kun \303\251n l\303\270sning.Man kan f\303\245 fat i l\303\270sningen ved at bruge funktionen "rhs" (right hand side), og label.Tilsvarende findes "lhs" (left hand side).S\303\245 slipper man for at kopiere. Og undg\303\245r fejl, hvis man retter l\303\246ngere oppe, og genberegner!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Hvis man vil have l\303\270sningen lagt ind i en funktion, kan man g\303\270re f\303\270lgende: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NB: Det virker ikke, hvis udtrykket er for kompliceret.
I s\303\245 fald skal man anvende: 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 som altid fungerer (selv om den er uforst\303\245elig!)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzY1LUYsNiVRImZGJ0YvRjItRjY2JC1GIzYlLUYsNiVRInhGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGRy1JI21vR0YkNi1RIixGJ0ZHLyUmZmVuY2VHRkYvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGQS1GSjYtUSI9RidGR0ZNL0ZQRkZGUUZTRlVGV0ZZL0ZmblEsMC4yNzc3Nzc4ZW1GJy9GaW5GYG8tRko2LVEqJnVtaW51czA7RidGR0ZNRl5vRlFGU0ZVRldGWS9GZm5RLDAuMjIyMjIyMmVtRicvRmluRmZvLUkjbW5HRiQ2JFEiMUYnRkctRko2LVEjLi5GJ0ZHRk1GXm9GUUZTRlVGV0ZZRmVvL0ZpbkZnbi1GaW82JFEiMkYnRkdGSS1GLDYlUSJ5RidGL0YyRltvLUZpbzYkUSIwRidGR0ZccC1GaW82JFEjMjBGJ0ZHRkktRiw2JVEqZ3JpZGxpbmVzRidGL0YyRkRGR0ZHRkRGRw==