y^{''}-5y^'-24y=0,y(0)=7,y^'(0)=-3

Lösung

y^{^{''}} - 5 y^{^{'}} - 24 y = 0, y (0) = 7, y^{^{'}} (0) = - 3

y = (7 - \frac{59}{11}) e^{8 t} + \frac{59}{11} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) - 24 y = 0

Solve linear ODE:

y = (7 - \frac{59}{11}) e^{8 t} + \frac{59}{11} e^{- 3 t}

y = (7 - \frac{59}{11}) e^{8 t} + \frac{59}{11} e^{- 3 t}

81 y^{^{''}} + 36 y^{^{'}} + 40 y = 0, y (0) = 6, y^{^{'}} (0) = 7

2 y^{^{''}} + 5 y^{^{'}} = 0, y (0) = 0, y (2) = 1

y^{^{''}} - 2 y^{^{'}} - y = 0, y (0) = 2, y^{^{'}} (0) = 1

y^{^{''}} + y^{^{'}} = 0, y (\frac{π}{3}) = 16, y^{^{'}} (\frac{π}{3}) = - 32

(10 d^{3} + d^{2} - 7 d + 2) y = 0