(d^2S)/(dx^2)=x

Lösung

\frac{d ^{2} S}{d x ^{2}} = x

S = \frac{x ^{3}}{6} + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} S}{d x ^{2}} = x

Ersetze

\frac{d ^{2} S}{d x ^{2}}

mit

S^{''} (x)

S^{^{''}} (x) = x

Löse

S^{''} (x) = x : S^{'} (x) = \frac{x ^{2}}{2} + c_{1}

Löse

S^{'} (x) = \frac{x ^{2}}{2} + c_{1} : S = \frac{x ^{3}}{6} + c_{1} x + c_{2}

S = \frac{x ^{3}}{6} + c_{1} x + c_{2}

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