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Beliebt Rechnen >

y^{'''}+6y^{''}+11y^'+6y=0

Lösung

y^{^{'''}} + 6 y^{^{''}} + 11 y^{^{'}} + 6 y = 0

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + c_{3} e^{- 3 t}

Schritte zur Lösung

y^{'''} (t) + 6 y^{''} (t) + 11 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + c_{3} e^{- 3 t}

y = c_{1} e^{- t} + c_{2} e^{- 2 t} + c_{3} e^{- 3 t}

Graph

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