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Beliebt Rechnen >

(dy)/(dx)=y^2(x+1)

Lösung

\frac{d y}{d x} = y^{2} (x + 1)

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = y^{2} (x + 1)

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of 1/(9e^y+e^{-y)}

\int \frac{1}{9 e ^{y} + e ^{- y}} d y

y^{1/2}(dy)/(dx)+y^{3/2}=1

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

(\partial)/(\partial x)((x^2)/(1+t^2))

\frac{\partial}{\partial x} (\frac{x ^{2}}{1 + t ^{2}})

limit as x approaches infinity of x*(arctan(e^x)-pi/2)

x \to \infty lim (x \cdot (arctan (e^{x}) - \frac{π}{2}))

(d^2)/(dx^2)(e^{-2x})

\frac{d ^{2}}{d x ^{2}} (e^{- 2 x})