(d^3-9d)*y=0

Lösung

(d^{3} - 9 d) \cdot y = 0

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

Schritte zur Lösung

(d^{3} - 9 d) y = 0

Solve linear ODE:

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

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

y^{^{'''}} - 9 y^{^{'}} = 0

(d^{4} - 7 d^{3} + 18 d^{2} - 20 d + 8) y = 0

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

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 2, y^{^{'}} (0) = 3

8 y^{^{''}} - 6 y^{^{'}} - 5 y = 0