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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dv}{dt}-\frac{4v)/t =8t^3

\frac{d v}{d t} - \frac{4 v}{t} = 8 t^{3}

derivative of-(x+1)

\frac{d}{d x} (- (x + 1))

derivative of (x^2/(1+4x))

\frac{d}{d x} (\frac{x ^{2}}{1 + 4 x})

integral from-1 to 3 of sqrt(1+(6y+2)^2)

\int_{- 1}^{3} 1 + (6 y + 2)^{2} d y

integral of (a+bx^3)^2

\int (a + b x^{3})^{2} d x