(dy)/(dt)=yr(1000-y)

Lösung

\frac{d y}{d t} = yr (1000 - y)

y = \frac{1000}{e ^{- 1000 r t + c_{1}} + 1}

Schritte zur Lösung

\frac{d y}{d t} = yr (1000 - y)

Solve Bernoulli ODE:

y = \frac{1000}{e ^{- 1000 r t + c_{1}} + 1}

y = \frac{1000}{e ^{- 1000 r t + c_{1}} + 1}

a re a y = sec^{2} (x), y = 8 cos (x), - \frac{π}{3}, \frac{π}{3}

\int_{1}^{\infty} \frac{ln ( x )}{x ^{\frac{3}{2}}} d x

\frac{d}{d x} (1000 (1 + \frac{x}{12})^{60})

d er i v a t i v e f (x) = (1 - x) (x^{2} - 7)^{2}

in v erse l a pl a ce \frac{10}{s ( s ^{2} + 8 s + 25 )}