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zeAGoXS%htIyc9M8g70cqoP5)d5JWpuMEe8uQP1FhU&0;2Fq&Ps z5xO}0M~SKQU)7g`UX^`S4+=$&wvut`wwg0hJxlk09cqfAgf4%?!6LCNTJGHQdwibo h;c5TRX9F&-CeE%P=kFE>T + +$C'''(X) = \sum N(N-1)(N-2)C_N X^{N-3}$ + +wir können deshalb einfach mit $X^{N-3}$ multiplizieren. + +$C'''(X) = 12 \frac{1+x}{(1-x)^5} + 12* \frac{C'(x)}{(1-x)^2}$ + +Ableitung multiplizieren mit $C'*1/(1-x)^2$ + +Produkt bilden und sortieren, und noch eine Indexverschiebung vornehmen. + +Damit DG dritter -> zweiter Ordnung. + +$D(X) = C'(X) = ...$ + +Damit neue DG + +$D''(X) = 12 \frac{1+x}{(1-x)^5} + 12* \frac{D(x)}{(1-x)^2}$ + +-> Lösen der DG und substitution $D(X) = f(u) = f(ln(1/(1-x)))$ + +explizite Lösung $D(X)$, wo das Polynom egal ist. + \end{document} -- 2.47.3