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Beliebt Rechnen >

(dy}{dx}=\frac{y^2-y)/x

Lösung

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

Lösung

y = \frac{1}{1 - c _{1} x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{1}{1 - c _{1} x}

y = \frac{1}{1 - c _{1} x}

Graph

Beliebte Beispiele

x^2y^{''}-4xy^'+6y=0,y(1)=0.4,y^'(1)=0

x^{2} y^{^{''}} - 4 x y^{^{'}} + 6 y = 0, y (1) = 0.4, y^{^{'}} (1) = 0

y^{'''}-7y^{''}+8y^'+16y=0

y^{^{'''}} - 7 y^{^{''}} + 8 y^{^{'}} + 16 y = 0

derivative of In(sin(x))

\frac{d}{d x} (I n (sin (x)))

derivative arctan(x^2)

d er i v a t i v e arctan (x^{2})

\frac{d}{d z} (2 z)