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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - 2 x + x^{2} + c_{1}, y = - - 2 x + x^{2} + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = - 2 x + x^{2} + c_{1}, y = - - 2 x + x^{2} + c_{1}

y = - 2 x + x^{2} + c_{1}, y = - - 2 x + x^{2} + c_{1}

Graph

Beliebte Beispiele

(dy}{dx}=\frac{1+y^2)/x

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

x^2(y^2+1)dx+ysqrt(x^3+1)dy=0

x^{2} (y^{2} + 1) d x + y x^{3} + 1 d y = 0

sqrt(1-x^2)y^'=sqrt(1-y^2)

1 - x^{2} y^{^{'}} = 1 - y^{2}

y^'=y(1-y/(10))

y^{^{'}} = y (1 - \frac{y}{10})

y^'sec(t)=(-y^3)/2

y^{^{'}} sec (t) = \frac{- y ^{3}}{2}