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Beliebt Rechnen >

y^'=((y-y^2))/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

taylor sqrt((1+x)/(1-x))-1

t a y l or \frac{1 + x}{1 - x} - 1

derivative f(x)=sec(x^2)

d er i v a t i v e f (x) = sec (x^{2})

derivative of sqrt(9+3x+sin(3x))

\frac{d}{d x} (9 + 3 x + sin (3 x))

tangent f(x)=2x^{-1},\at x=5

t an g e n t f (x) = 2 x^{- 1}, at x = 5

integral from 1/2 to 3/2 of (-2x+4)

\int_{\frac{1}{2}}^{\frac{3}{2}} (- 2 x + 4) d x