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Beliebt Rechnen >

(dy)/(dx)=(y(1-y))

Lösung

\frac{d y}{d x} = (y (1 - y))

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = (y (1 - y))

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(f^'(x))/(f(x))=xe^x,f(0)=4

\frac{f ^{^{'}} ( x )}{f ( x )} = x e^{x}, f (0) = 4

y^'=(3y^2+9)/((2xy))

y^{^{'}} = \frac{3 y ^{2} + 9}{( 2 x y )}

y^{^{'}} + 5 x y = x

y^'=((ln(x))^3)/(xy^2)

y^{^{'}} = \frac{( ln ( x ) ) ^{3}}{x y ^{2}}

derivative of (y^2)+(dy)/(dx)-2y=0

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