x^{''}-x^'-2x=0

Lösung

x^{^{''}} - x^{^{'}} - 2 x = 0

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

Schritte zur Lösung

x^{''} (t) - x^{'} (t) - 2 x = 0

Solve linear ODE:

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

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

y^{^{''}} - 3 y^{^{'}} - 10 y = 0, y (0) = 1

x^{^{''}} - 7 x^{^{'}} - 8 x = 0

y^{^{''}} - 16 y^{^{'}} + 60 y = 0

y^{^{''}} - 9 y^{^{'}} - 5 y = 0

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