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Beliebt Rechnen >

(dx)/(dt)=x(1-0.0004x)

Lösung

\frac{d x}{d t} = x (1 - 0.0004 x)

Lösung

x = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

Schritte zur Lösung

\frac{d x}{d t} = x (1 - 0.0004 x)

Solve separable ODE:

x = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

x = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

Graph

Beliebte Beispiele

integral from 1 to 2 of 9(ln(x))/(x^2)

\int_{1}^{2} 9 \frac{ln ( x )}{x ^{2}} d x

integral of 1/(sqrt(x(x+1)))

\int \frac{1}{x ( x + 1 )} d x

tangent f(x)=sqrt(x-1),(10,3)

t an g e n t f (x) = x - 1, (10, 3)

integral from 0 to 3 of sqrt(4x+5)

\int_{0}^{3} 4 x + 5 d x

fläche x=-3,x=-1,y=x^3+8,y=0

a re a x = - 3, x = - 1, y = x^{3} + 8, y = 0