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Beliebt Rechnen >

(D^3+D^2-2D+12)y=0

Lösung

(D^{3} + D^{2} - 2 D + 12) y = 0

Lösung

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

Schritte zur Lösung

(D^{3} + D^{2} - 2 D + 12) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=0,y(0)=1,y^'(0)=3

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 3

3 y^{^{''}} = 4 y^{^{'}}

y^{^{''}} + y^{^{'}} = - cy

324y^{''}+36y^'=0,y(0)=3,y^'(0)=7

324 y^{^{''}} + 36 y^{^{'}} = 0, y (0) = 3, y^{^{'}} (0) = 7

2y^{''}+8y^'+6y=0

2 y^{^{''}} + 8 y^{^{'}} + 6 y = 0