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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'=(6yx^2)/(x^3+1)

y^{^{'}} = \frac{6 y x ^{2}}{x ^{3} + 1}

(dy}{dx}=\frac{6y)/x ,x>0

\frac{d y}{d x} = \frac{6 y}{x}, x > 0

y^'=\sqrt[3]{y/(x-1)}

y^{^{'}} = 3 \frac{y}{x - 1}

y^'+6y=4,y(0)=0

y^{^{'}} + 6 y = 4, y (0) = 0

(dy)/(dx)=((ln(x))^6)/(xy^2)

\frac{d y}{d x} = \frac{( ln ( x ) ) ^{6}}{x y ^{2}}