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Beliebt Rechnen >

y^{''''}-6y^{'''}-36y^{''}+216y^'=0

Lösung

y^{^{''''}} - 6 y^{^{'''}} - 36 y^{^{''}} + 216 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- 6 t} + c_{3} e^{6 t} + c_{4} t e^{6 t}

Schritte zur Lösung

y^{(4)} (t) - 6 y^{'''} (t) - 36 y^{''} (t) + 216 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 6 t} + c_{3} e^{6 t} + c_{4} t e^{6 t}

y = c_{1} + c_{2} e^{- 6 t} + c_{3} e^{6 t} + c_{4} t e^{6 t}

Graph

Beliebte Beispiele

64 y^{^{''}} - y = 0

y^{^{''''}} + 64 y = 0

y^{^{''''}} - 81 y = 0

y^{''}-2y^'+5y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1

2y^{''}+12y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 12 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0