81y^{''}-64y=0

Lösung

81 y^{^{''}} - 64 y = 0

y = c_{1} e^{\frac{8 t}{9}} + c_{2} e^{- \frac{8 t}{9}}

Schritte zur Lösung

81 y^{''} (t) - 64 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{8 t}{9}} + c_{2} e^{- \frac{8 t}{9}}

y = c_{1} e^{\frac{8 t}{9}} + c_{2} e^{- \frac{8 t}{9}}

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = - 2

y^{^{'''}} - 3 y^{^{''}} - 46 y^{^{'}} - 72 y = 0

y^{^{'''}} - y^{^{''}} - 100 y = 0

25 y^{^{''}} + 50 y^{^{'}} + 169 y = 0, y (0) = 4, y^{^{'}} (0) = 8

64 y^{^{''}} + 80 y^{^{'}} + 16 y = 0, y (0) = 0, y^{^{'}} (0) = 1