(dy)/(dx)=y*(1/x-y)

Lösung

\frac{d y}{d x} = y \cdot (\frac{1}{x} - y)

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

Schritte zur Lösung

\frac{d y}{d x} = y \cdot (\frac{1}{x} - y)

Solve Bernoulli ODE:

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

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

\frac{\partial}{\partial u} (\frac{v}{u})

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im pl i c i t \frac{d y}{d x}, x y = x - 2 y