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Beliebt Rechnen >

y^{''''}+5y^{'''}=0

Lösung

y^{^{''''}} + 5 y^{^{'''}} = 0

Lösung

y = c_{1} e^{- 5 t} + c_{2} + c_{3} t + c_{4} t^{2}

Schritte zur Lösung

y^{(4)} (t) + 5 y^{'''} (t) = 0

Solve linear ODE:

y = c_{1} e^{- 5 t} + c_{2} + c_{3} t + c_{4} t^{2}

y = c_{1} e^{- 5 t} + c_{2} + c_{3} t + c_{4} t^{2}

Graph

Beliebte Beispiele

4y^{''}-68y^'+289y=0

4 y^{^{''}} - 68 y^{^{'}} + 289 y = 0

y^{''}+9y+y=0,y(0)=0.16,y^'(0)=0

y^{^{''}} + 9 y + y = 0, y (0) = 0.16, y^{^{'}} (0) = 0

y^{''}-7y^'-2y=0

y^{^{''}} - 7 y^{^{'}} - 2 y = 0

2y^{''}+14y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 14 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

4y^{''}+7y^'+3y=0

4 y^{^{''}} + 7 y^{^{'}} + 3 y = 0