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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

integral of 8/(x-1)

\int \frac{8}{x - 1} d x

integral of (10)/(x+1)

\int \frac{10}{x + 1} d x

(\partial)/(\partial x)((5x-y)/(y^2+3x^2))

\frac{\partial}{\partial x} (\frac{5 x - y}{y ^{2} + 3 x ^{2}})

fläche y=(x^3+1)^{-1},x=0,x=1

a re a y = (x^{3} + 1)^{- 1}, x = 0, x = 1

integral of x^2+4x+4

\int x^{2} + 4 x + 4 d x