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Beliebt Rechnen >

2y^{'''}+9y^{''}-6y^'-5y=0

Lösung

2 y^{^{'''}} + 9 y^{^{''}} - 6 y^{^{'}} - 5 y = 0

Lösung

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

Schritte zur Lösung

2 y^{'''} (t) + 9 y^{''} (t) - 6 y^{'} (t) - 5 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+8y^'+4y=0,y(0)=0

y^{^{''}} + 8 y^{^{'}} + 4 y = 0, y (0) = 0

16y^{''}+56y^'+49y=0,y(0)=5

16 y^{^{''}} + 56 y^{^{'}} + 49 y = 0, y (0) = 5

81y^{''''}-625y=0

81 y^{^{''''}} - 625 y = 0

(d^{6} - 1) y = 0

y^{''}+16y=0,y(0)=0,y(1)=1

y^{^{''}} + 16 y = 0, y (0) = 0, y (1) = 1