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Beliebt Rechnen >

x^{''}+10x^'+25=14e^{-5t}

Lösung

x^{^{''}} + 10 x^{^{'}} + 25 = 14 e^{- 5 t}

Lösung

x = c_{1} + c_{2} e^{- 10 t} - \frac{14}{25} e^{- 5 t} - \frac{5 t}{2}

Schritte zur Lösung

x^{''} (t) + 10 x^{'} (t) + 25 = 14 e^{- 5 t}

Solve linear ODE:

x = c_{1} + c_{2} e^{- 10 t} - \frac{14}{25} e^{- 5 t} - \frac{5 t}{2}

x = c_{1} + c_{2} e^{- 10 t} - \frac{14}{25} e^{- 5 t} - \frac{5 t}{2}

Graph

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