3y^{'''}+12y^{''}+12y^'=0

Lösung

3 y^{^{'''}} + 12 y^{^{''}} + 12 y^{^{'}} = 0

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

Schritte zur Lösung

3 y^{'''} (t) + 12 y^{''} (t) + 12 y^{'} (t) = 0

Solve linear ODE:

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

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

\int_{0}^{1} (x^{2} + x) e^{x} d x

\int_{0}^{1} e^{- t^{2}} d t

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 8 y = 0

d er i v a t i v e sec^{2} (2 x + 5) \cdot 2

n \to 2 lim (n^{2})