Differentialgleichung
(%i1) dgl : ' diff ( x , t ) = x ^ 2 ;

\[\operatorname{(dgl) }\frac{d}{d t} x={{x}^{2}}\]

Allgemeine Lösung
(%i2) lsg : ode2 ( dgl , x , t ) ;

\[\operatorname{(lsg) }-\frac{1}{x}=t+\ensuremath{\mathrm{\% c}}\]

Anpassung an Anfangsbedingung
(%i3) solve ( ic1 ( lsg , x = p , t = 0 ) , x ) ;

\[\operatorname{ }\left[ x=-\frac{p}{p t-1}\right] \]


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