x^{''}-x^'-6x=0

Lösung

x^{^{''}} - x^{^{'}} - 6 x = 0

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

Schritte zur Lösung

x^{''} (t) - x^{'} (t) - 6 x = 0

Solve linear ODE:

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

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

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

x^{^{''}} - 6 x^{^{'}} + 8 x = 0

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

2 y^{^{''}} + 36 y^{^{'}} + 163 y = 0

y^{^{'''}} - 3 y^{^{''}} + 4 y^{^{'}} - 2 y = 0