y^{'''}+8y^{''}+21y^'+18y=0

Lösung

y^{^{'''}} + 8 y^{^{''}} + 21 y^{^{'}} + 18 y = 0

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

Schritte zur Lösung

y^{'''} (t) + 8 y^{''} (t) + 21 y^{'} (t) + 18 y = 0

Solve linear ODE:

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

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

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

22 y^{^{''''}} + 61 y^{^{''}} + 25 y = 0

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

- y^{^{''}} - π^{2} y = 0

y^{^{''}} + 20 y^{^{'}} + 100 y = 0, y (0) = 2, y^{^{'}} (0) = 1