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Beliebt Rechnen >

y^{'''}-3y^{''}-4y^'+12y=0

Lösung

y^{^{'''}} - 3 y^{^{''}} - 4 y^{^{'}} + 12 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 3 y^{''} (t) - 4 y^{'} (t) + 12 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(4d^4-8d^3-4d^2+8d)y=0

(4 d^{4} - 8 d^{3} - 4 d^{2} + 8 d) y = 0

3y^{'''}+2y^{''}=0

3 y^{^{'''}} + 2 y^{^{''}} = 0

2y^{''}+28y^'+99y=0,y(0)=2,y^'(0)=0

2 y^{^{''}} + 28 y^{^{'}} + 99 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{''}+14y^'+45y=0

y^{^{''}} + 14 y^{^{'}} + 45 y = 0

16y^{'''}+24y^{''}+9y^'=0

16 y^{^{'''}} + 24 y^{^{''}} + 9 y^{^{'}} = 0