y^{''}-9y^'-52y=0

Lösung

y^{^{''}} - 9 y^{^{'}} - 52 y = 0

y = c_{1} e^{13 t} + c_{2} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) - 9 y^{'} (t) - 52 y = 0

Solve linear ODE:

y = c_{1} e^{13 t} + c_{2} e^{- 4 t}

y = c_{1} e^{13 t} + c_{2} e^{- 4 t}

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 7, y (0) = y

y^{^{''''}} - 7 y^{^{''}} - 18 y = 0

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

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 2, y (0) = 26

64 y^{^{''}} - y = 0, y (- 8) = 1, y^{^{'}} (- 8) = - 1