(d^2y)/(dt^2)-5(dy)/(dt)-24y=0

Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} - 24 y = 0

y = c_{1} e^{8 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} - 24 y = 0

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{- 3 t}

y = c_{1} e^{8 t} + c_{2} e^{- 3 t}

x \to 0 - lim (x - 1)

\int_{0}^{1} 3 (x^{2} + 1) e^{- x} d x

x \to 3 + lim (7 x^{2} + 5)

x \to - 1 lim ([x])

d er i v a t i v e f (x) = x^{3} e^{3} sin (x)