(dv)/(dt)=9.8-v/5 ,v(0)=0

Lösung

\frac{d v}{d t} = 9.8 - \frac{v}{5}, v (0) = 0

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

Schritte zur Lösung

\frac{d v}{d t} = 9.8 - \frac{v}{5}

Solve linear ODE:

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

x y^{^{'}} = x + y

\frac{d}{d x} (\frac{K x + 11}{x ^{2} + ( K + 1 ) x + 11})

\int sin (9 x) cos (5 x) d x

x \to 0 lim (8 x cot (3 x))

n = 1 \sum \infty (\frac{n + 1}{n})^{n}