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Beliebt Rechnen >

y^{'''}+9y^{''}+24y^'+16y=0

Lösung

y^{^{'''}} + 9 y^{^{''}} + 24 y^{^{'}} + 16 y = 0

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

Schritte zur Lösung

y^{'''} (t) + 9 y^{''} (t) + 24 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + c_{3} t e^{- 4 t}

Graph

Beliebte Beispiele

2x^{''}+16x^'+64x=0,x(0)=0,x^'(0)=0.2

2 x^{^{''}} + 16 x^{^{'}} + 64 x = 0, x (0) = 0, x^{^{'}} (0) = 0.2

y^{''}+10y^'+8y=0

y^{^{''}} + 10 y^{^{'}} + 8 y = 0

y^{'''}+8y^{''}+19y^'+12y=0

y^{^{'''}} + 8 y^{^{''}} + 19 y^{^{'}} + 12 y = 0

y^{''}+25y=0,y(0)=0,y^'(0)=4

y^{^{''}} + 25 y = 0, y (0) = 0, y^{^{'}} (0) = 4

81y^{''}+108y^'-13y=0,y(0)=1,y^'(0)=0

81 y^{^{''}} + 108 y^{^{'}} - 13 y = 0, y (0) = 1, y^{^{'}} (0) = 0