ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

(dP)/(dt)=aP-bP^2

解

\frac{d P}{d t} = a P - b P^{2}

解

P = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

解答ステップ

\frac{d P}{d t} = a P - b P^{2}

分離可能 ODE を解く:

P = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

P = - \frac{a e ^{a t + c_{1} a}}{b ( 1 - e ^{a (t + c_{1})} )}

グラフ

人気の例

limit as x approaches 2 of ((x+3))/(x-2)

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

(dy)/(dx)=(e^x)/(6+e^x)

\frac{d y}{d x} = \frac{e ^{x}}{6 + e ^{x}}

面積 cos(x),0.5,0<= x<= pi

a re a cos (x), 0.5, 0 \leq x \leq π

integral of (2x-3)tan(7x^2-21x+9)

\int (2 x - 3) tan (7 x^{2} - 21 x + 9) d x

derivative y=(x+6)/(x^3+x-7)

d er i v a t i v e y = \frac{x + 6}{x ^{3} + x - 7}