y^{''''}-4y^{'''}-5y^{''}+36y^'-36y=0

Lösung

y^{^{''''}} - 4 y^{^{'''}} - 5 y^{^{''}} + 36 y^{^{'}} - 36 y = 0

y = c_{1} e^{- 3 t} + c_{2} e^{3 t} + c_{3} e^{2 t} + c_{4} t e^{2 t}

Schritte zur Lösung

y^{(4)} (t) - 4 y^{'''} (t) - 5 y^{''} (t) + 36 y^{'} (t) - 36 y = 0

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{3 t} + c_{3} e^{2 t} + c_{4} t e^{2 t}

y = c_{1} e^{- 3 t} + c_{2} e^{3 t} + c_{3} e^{2 t} + c_{4} t e^{2 t}

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y^{^{'}} 0 = 10, y^{0} = 2

\frac{d ^{2} f}{d x ^{2}} + a f (x) = 0

1296 y^{^{''}} + 72 y^{^{'}} + y = 0, y (0) = 7, y^{^{'}} (0) = 5

y^{^{''}} - 16 y = 0, y (0) = 13, y^{^{'}} (0) = 20

y^{^{''}} + 6 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 0