(dP)/(dt)= 1/10 P(500-P)

解答

\frac{d P}{d t} = \frac{1}{10} P (500 - P)

P = \frac{50}{e ^{- 50 t - c_{1}} - 1}

求解步骤

\frac{d P}{d t} = \frac{1}{10} P (500 - P)

求解贝努力方程:

P = \frac{50}{e ^{- 50 t - c_{1}} - 1}

P = \frac{50}{e ^{- 50 t - c_{1}} - 1}

\int sec^{2} (5 x) tan^{4} (5 x) d x

x \to 1 lim (\frac{x ^{2} - 4}{x - 1})

l a pl a ce t r an s f or m f (t) = e^{t + 7}

l a pl a ce t r an s f or m 3 y

\frac{d}{d x} (\frac{1}{3 x ^{2}} - \frac{5}{2 x} + 8 x - 6)