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Beliebt Rechnen >

(d^2x)/(dt^2)-6(dx)/(dt)-7x=6

Lösung

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

Lösung

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

Solve linear ODE:

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

Graph

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