y^{'''}+2y^{''}-11y^'-12y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 11 y^{^{'}} - 12 y = 0

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t}

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 11 y^{'} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t}

y = c_{1} e^{- t} + c_{2} e^{3 t} + c_{3} e^{- 4 t}

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = x, y^{^{'}} (0) = 4

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = - 2

y^{^{''}} + 20 y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - 24

y^{^{'''}} - 3 y^{^{''}} - 54 y^{^{'}} = 0

77 y^{^{''''}} + 123 y^{^{''}} + 16 y = 0