2y^{''}+8y^'+80y=0,y(0)=0

Lösung

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 0, y (0) = 0

y = c_{2} e^{- 2 t} sin (6 t)

Schritte zur Lösung

2 y^{''} (t) + 8 y^{'} (t) + 80 y = 0

Solve linear ODE:

y = c_{2} e^{- 2 t} sin (6 t)

y = c_{2} e^{- 2 t} sin (6 t)

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 4

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

y^{^{'''}} + 6 y^{^{''}} - y^{^{'}} - 3 y = 0

x^{^{''}} + 4 x^{^{'}} + 5 x = 0, x (0) = 1, x^{^{'}} (0) = 0

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 11