9y^{''}-2y^'-7y=0

Lösung

9 y^{^{''}} - 2 y^{^{'}} - 7 y = 0

y = c_{1} e^{t} + c_{2} e^{- \frac{7 t}{9}}

Schritte zur Lösung

9 y^{''} (t) - 2 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- \frac{7 t}{9}}

y = c_{1} e^{t} + c_{2} e^{- \frac{7 t}{9}}

15 y^{^{''}} + 26 y^{^{'}} + 7 y = 0, y (0) = 8, y^{^{'}} (0) = 1

10 y^{^{''''}} + 13 y^{^{''}} + 4 y = 0

l in e a r y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = 1

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (- 1) = 4, y^{^{'}} (- 1) = 6

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y^{1} (0) = e^{3} x