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Beliebt Rechnen >

(dp)/(dt)=p-p^2

Lösung

\frac{d p}{d t} = p - p^{2}

Lösung

p = - \frac{e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Schritte zur Lösung

\frac{d p}{d t} = p - p^{2}

Solve separable ODE:

p = - \frac{e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

p = - \frac{e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Graph

Beliebte Beispiele

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

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

sqrt(1-y^2)dx=(1+x^2)ydy,y(0)=0

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

y^'=((1-2x))/y ,y(1)=-2

y^{^{'}} = \frac{( 1 - 2 x )}{y}, y (1) = - 2

y^'= 1/(y^2),y(1)=1

y^{^{'}} = \frac{1}{y ^{2}}, y (1) = 1

xdy+ydx=2x^2ydx

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