de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dP)/(dt)=1.05P(1-P/(7500))

Lösung

\frac{d P}{d t} = 1.05 P (1 - \frac{P}{7500})

Lösung

P = - \frac{7500 e ^{1.05 t + c_{1}}}{1 - e ^{1.05 t + c_{1}}}

Schritte zur Lösung

\frac{d P}{d t} = 1.05 P (1 - \frac{P}{7500})

Solve separable ODE:

P = - \frac{7500 e ^{1.05 t + c_{1}}}{1 - e ^{1.05 t + c_{1}}}

P = - \frac{7500 e ^{1.05 t + c_{1}}}{1 - e ^{1.05 t + c_{1}}}

Graph

Beliebte Beispiele

2y(x+1)(dy)/(dx)=2+y^2,y(0)=1

2 y (x + 1) \frac{d y}{d x} = 2 + y^{2}, y (0) = 1

x^2(dy)/(dx)+y=-2

x^{2} \frac{d y}{d x} + y = - 2

y^{^{'}} = x^{2} y^{- 7}

x^3dy+x^2ydx+ydx=xdy

x^{3} d y + x^{2} y d x + y d x = x d y

y^'+4y=0,y(0)=5

y^{^{'}} + 4 y = 0, y (0) = 5