(xy-y^2)dx-x^2dy=0

Lösung

(x y - y^{2}) d x - x^{2} d y = 0

y = \frac{x}{ln ( x ) + c _{1}}

Schritte zur Lösung

(x y - y^{2}) d x - x^{2} d y = 0

Solve Bernoulli ODE:

y = \frac{x}{ln ( x ) + c _{1}}

y = \frac{x}{ln ( x ) + c _{1}}

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

\frac{\partial}{\partial y} (20 (y - x^{2}))

x \to 1 lim (\frac{x ^{2} + 1}{x + 5})

(x + y)^{2} d x + (2 x y + x^{2} - 6) d y = 0, y (1) = 1

\frac{d}{d x} (\frac{- 6}{x})