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Beliebt Rechnen >

(D^2-D-2)(D^2-4D+6)y=0

Lösung

(D^{2} - D - 2) (D^{2} - 4 D + 6) y = 0

Lösung

y = c_{1} e^{- x} + c_{2} e^{2 x} + e^{2 x} (c_{3} cos (2 x) + c_{4} sin (2 x))

Schritte zur Lösung

(D^{2} - D - 2) (D^{2} - 4 D + 6) y = 0

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{2 x} + e^{2 x} (c_{3} cos (2 x) + c_{4} sin (2 x))

y = c_{1} e^{- x} + c_{2} e^{2 x} + e^{2 x} (c_{3} cos (2 x) + c_{4} sin (2 x))

Graph

Beliebte Beispiele

y^{''}-3y^'-6y=0

y^{^{''}} - 3 y^{^{'}} - 6 y = 0

y^{''}-7y^'+10y=0,y(0)=1,y^'(0)=8

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 8

y^{'''}-3y^{''}+9y^'+13y=0

y^{^{'''}} - 3 y^{^{''}} + 9 y^{^{'}} + 13 y = 0

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

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

y^{^{''}} - 11 y^{^{'}} = 0