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PDF-Example1.1Theequationsx0=2xandx0=xarenotlinearlyconjugatesincetheeigen PDF document

dth1YFh1Y1EvaluatingthelefthandsideusingthechainruleyieldsDYh1YdY dtTheformulaforthederivativeoftheinverseisDYh1YDXh Xh1Y1Multiplying1byDXhh1Yyieldsthedi erentialeq

dth1(Y)=F(h1(Y)):(1)EvaluatingthelefthandsideusingthechainruleyieldsDYh1(Y)dY dt:TheformulaforthederivativeoftheinverseisDYh1(Y)=DXh X=h1(Y)1:Multiplying(1)byDXh(h1(Y))yieldsthedi erentialeq

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Example1.1Theequationsx0=2xandx0=xarenotlinearlyconjugatesincetheeigen: Transcript

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