q^{''}+6q^'+9q=0

Lösung

q^{^{''}} + 6 q^{^{'}} + 9 q = 0

q (t) = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t}

Schritte zur Lösung

q^{''} (t) + 6 q^{'} (t) + 9 q (t) = 0

Solve linear ODE:

q (t) = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t}

q (t) = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t}

0.1 y^{^{''}} + 4 y^{^{'}} + 250 y = 0

y^{^{''}} + 4 y^{^{'}} + 8 y = 0, y (0) = 1, y^{^{'}} (0) = 1

2 y^{^{''}} + 16 y = 0, y (0) = 0.125, y^{^{'}} (0) = 0

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

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