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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">  N\303\244ytt\303\244is silt\303\244, ett\303\244 arvolla y(0)=c=-0.5  ratkaisuk\303\244yr\303\244 = vakio = 0, mutta vain &quot;n\303\244ytt\303\244is</Font>&quot;, kts. alla.</Text-field>
<Text-field style="Text" layout="Normal">  Kun c &gt; -0.5, niin <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>Kun c &lt;-0.5, niin <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">  Mutta, eih\303\244n siin\303\244 parvessa vakioratkaisua voi olla.</Font></Text-field>
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<Text-field style="Text" layout="Normal">  Katsotaan tarkemmin:</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">   Mik\303\244 se Y olikaan?</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Y" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">SSJZRzYi</Equation></Text-field>
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<Text-field style="Text" layout="Normal">     <Font encoding="UTF-8"> N\303\244inh\303\244n se oikeasti on, kuten kaavastakin heti n\303\244kyy.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">      M\303\244\303\244ritell\303\244\303\244n huvin vuoksi grafiikka-arvoinen funktio:</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="kayra := proc (K, a, b) options operator, arrow; plot(subs(c = K, Y), x = a .. b) end proc" display="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">Pkkma2F5cmFHNiJmKjYlSSJLR0YkSSJhR0YkSSJiR0YkRiQ2JEkpb3BlcmF0b3JHRiRJJmFycm93R0YkRiQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQtSSVzdWJzR0YwNiQvSSJjR0YkOSRJIllHRiQvSSJ4R0YkOzklOSZGJEYkRiQ=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(kayra(-.5, 0, 10))" display="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">LUkoZGlzcGxheUc2IjYjLUkma2F5cmFHRiQ2JSQhIiYhIiIiIiEiIzU=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">   Katsotaan animaatio:</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(kayra(K, 0, 1.5), K = C), insequence = true)" display="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">LUkoZGlzcGxheUc2IjYkLUkkc2VxRyUqcHJvdGVjdGVkRzYkLUkma2F5cmFHRiQ2JUkiS0dGJCIiISQiIzohIiIvRi1JIkNHRiQvSStpbnNlcXVlbmNlR0YkSSV0cnVlR0Yo</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Y" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">SSJZRzYi</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">   Johtop\303\244\303\244t\303\266kset n\303\244kyv\303\244t tietysti ratkaisukaavasta ilman mit\303\244\303\244n piirroksia, mutta t\303\244ss\303\244 harjoitellaan my\303\266s</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">   sujuvaa Maplen k\303\244ytt\303\266\303\244 ja johtop\303\244\303\244t\303\266sten tekoa (harhan\303\244yt mukaanlukien) kuvista pit\303\244en samalla matemaattiset silm\303\244t auki.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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