(D^3-8)y=0

Lösung

(D^{3} - 8) y = 0

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

Schritte zur Lösung

(D^{3} - 8) y = 0

Solve linear ODE:

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

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

4 \frac{d ^{2} y}{d x ^{2}} + 36 y = 0

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

y^{^{''}} + 4 y^{^{'}} - 7 y = 0

y^{^{'''}} - 5 y^{^{''}} + 17 y - 13 y = 0

(D^{3} - 4 D^{2} + 5 D) y = 0