16y^{''}+88y^'+121y=0

Lösung

16 y^{^{''}} + 88 y^{^{'}} + 121 y = 0

y = c_{1} e^{- \frac{11 t}{4}} + c_{2} e^{- \frac{11 t}{4}} t

Schritte zur Lösung

16 y^{''} (t) + 88 y^{'} (t) + 121 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{11 t}{4}} + c_{2} e^{- \frac{11 t}{4}} t

y = c_{1} e^{- \frac{11 t}{4}} + c_{2} e^{- \frac{11 t}{4}} t

\frac{y ^{^{''}}}{y} = - 1

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

15 y^{^{''''}} + 92 y^{^{''}} + 64 y = 0

y^{^{''}} + 11 y^{^{'}} + 24 y = 0, y (0) = 1, y^{^{'}} (0) = - 11

10 y^{^{''}} + 9 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 5