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Beliebt Rechnen >

y^{'''}+2y^{''}-9y^'-18y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 9 y^{^{'}} - 18 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 9 y^{'} (t) - 18 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-9y^'+8y=0

y^{^{''}} - 9 y^{^{'}} + 8 y = 0

linear y^{''}+4y=0

l in e a r y^{^{''}} + 4 y = 0

2 y^{^{''}} = - 4 y^{^{'}}

y^{''}-14y^'+49y=0,y(0)=0,y^'=7

y^{^{''}} - 14 y^{^{'}} + 49 y = 0, y (0) = 0, y^{^{'}} = 7

y^{'''}+2y^{''}-16y^'-32y=0

y^{^{'''}} + 2 y^{^{''}} - 16 y^{^{'}} - 32 y = 0