y^{'''}-6y^{''}-y^'+6y=0

Lösung

y^{^{'''}} - 6 y^{^{''}} - y^{^{'}} + 6 y = 0

y = c_{1} e^{6 t} + c_{2} e^{- t} + c_{3} e^{t}

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) - y^{'} (t) + 6 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- t} + c_{3} e^{t}

y = c_{1} e^{6 t} + c_{2} e^{- t} + c_{3} e^{t}

y^{^{''}} + 10 y^{^{'}} + 25 y = 3 e^{- 5 t}

\int_{- 6}^{6} 36 - x^{2} d x

\int \frac{1 + t}{t} d t

\int 9 (x + 1)^{2} ln (x + 1) d x

x \to - 3 lim (\frac{∣ x + 3 ∣}{x + 3})