1/3 (dx)/(dt)-2e^{-t}=-x

Lösung

\frac{1}{3} \frac{d x}{d t} - 2 e^{- t} = - x

x = \frac{3}{e ^{t}} + \frac{c _{1}}{e ^{3 t}}

Schritte zur Lösung

\frac{1}{3} \frac{d x}{d t} - 2 e^{- t} = - x

Solve linear ODE:

x = \frac{3}{e ^{t}} + \frac{c _{1}}{e ^{3 t}}

x = \frac{3}{e ^{t}} + \frac{c _{1}}{e ^{3 t}}

\int_{l n (8)}^{l n (64)} e^{\frac{x}{3}} d x

x \to 0 + lim (x - x)

\int x + \frac{1}{2 x} d x

\frac{d y}{d x} = (x - 5) e^{- 2 y}

x \to 2 lim (\frac{x ^{2} + 3}{\frac{1}{x}})