-x^{''}+ax=0

Lösung

- x^{^{''}} + a x = 0

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

Schritte zur Lösung

- x^{''} (t) + a x = 0

Solve linear ODE:

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

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

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

x^{^{''}} + 2 x^{^{'}} + 8 x = 0

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

y^{^{''}} - 12 y^{^{'}} + 136 y = 0

256 y^{^{''''}} = 16 y