(d^4-d^3-9d^2-11d-4)*v=0

Lösung

(d^{4} - d^{3} - 9 d^{2} - 11 d - 4) \cdot v = 0

v (x) = c_{1} e^{4 x} + c_{2} e^{- x} + c_{3} x e^{- x} + c_{4} x^{2} e^{- x}

Schritte zur Lösung

(d^{4} - d^{3} - 9 d^{2} - 11 d - 4) v (x) = 0

Solve linear ODE:

v (x) = c_{1} e^{4 x} + c_{2} e^{- x} + c_{3} x e^{- x} + c_{4} x^{2} e^{- x}

v (x) = c_{1} e^{4 x} + c_{2} e^{- x} + c_{3} x e^{- x} + c_{4} x^{2} e^{- x}

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

(d^{2} - 6 d + 13) y = 0

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

y^{^{'''}} + 12 y^{^{''}} + 36 y^{^{'}} = 0

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