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Beliebt Rechnen >

y^{'''}-12y^{''}+21y^'+98y=0

Lösung

y^{^{'''}} - 12 y^{^{''}} + 21 y^{^{'}} + 98 y = 0

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{7 t} + c_{3} t e^{7 t}

Schritte zur Lösung

y^{'''} (t) - 12 y^{''} (t) + 21 y^{'} (t) + 98 y = 0

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{7 t} + c_{3} t e^{7 t}

y = c_{1} e^{- 2 t} + c_{2} e^{7 t} + c_{3} t e^{7 t}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=0,y(1)=6

y^{^{''}} + 2 y^{^{'}} + y = 0, y (1) = 6

y^{''''}+7y^{'''}+14y^{''}-22y^'-84y=0

y^{^{''''}} + 7 y^{^{'''}} + 14 y^{^{''}} - 22 y^{^{'}} - 84 y = 0

(6 d^{3} + 5 d^{2}) y = 0

(d^4y)/(dt^4)+2y^{''}+y=0

\frac{d ^{4} y}{d t ^{4}} + 2 y^{^{''}} + y = 0

y^{''}=4y,y(0)=1,y(1)=0

y^{^{''}} = 4 y, y (0) = 1, y (1) = 0