y^{''}+2sqrt(3)y^'+3y=0

Lösung

y^{^{''}} + 23 y^{^{'}} + 3 y = 0

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

Schritte zur Lösung

y^{''} (t) + 23 y^{'} (t) + 3 y = 0

Solve linear ODE:

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

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

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 7, y^{^{'}} (0) = 2

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 y = 0, y (0) = 2

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 3.65

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = - 3, y^{^{'}} (0) = 12

0.5 x^{^{''}} + 0.5 x^{^{'}} + 6 x = 0, x (0) = 3, x^{^{'}} (0) = 0