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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{9 t} + c_{2} e^{- 9 t} + c_{3} + c_{4} t

Schritte zur Lösung

y^{(4)} (t) - 81 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} e^{9 t} + c_{2} e^{- 9 t} + c_{3} + c_{4} t

y = c_{1} e^{9 t} + c_{2} e^{- 9 t} + c_{3} + c_{4} t

Graph

Beliebte Beispiele

3.5y^{''}-5.6y^'+2.2y=0

3.5 y^{^{''}} - 5.6 y^{^{'}} + 2.2 y = 0

y^{'''}-2y^'+4y=0

y^{^{'''}} - 2 y^{^{'}} + 4 y = 0

1/4 y^{''}+sqrt(2)y^'+2y=0

\frac{1}{4} y^{^{''}} + 2 y^{^{'}} + 2 y = 0

4y^{''}-16y^'+17y=0

4 y^{^{''}} - 16 y^{^{'}} + 17 y = 0

y^{''}-7y^'+12y=0,y(0)=0,y(0)=3

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 0, y (0) = 3