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Beliebt Rechnen >

(dy)/(dt)=y(1-0.0002y)

Lösung

\frac{d y}{d t} = y (1 - 0.0002 y)

Lösung

y = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

Schritte zur Lösung

\frac{d y}{d t} = y (1 - 0.0002 y)

Solve separable ODE:

y = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

y = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

Graph

Beliebte Beispiele

integral of 2^xx

\int 2^{x} x d x

y^{''}-2y^'+5y=0,y(pi)=0,y^'(pi)=2

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (π) = 0, y^{^{'}} (π) = 2

tangent f(x)=3x^2,\at x=4

t an g e n t f (x) = 3 x^{2}, at x = 4

derivative of (x+5/(sqrt(x)))

\frac{d}{d x} (\frac{x + 5}{x})

x^2y^{''}+xy^'-y=x^{1/2}

x^{2} y^{^{''}} + x y^{^{'}} - y = x^{\frac{1}{2}}