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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=2xy^2+3x^2y^2,y(0)=5

\frac{d y}{d x} = 2 x y^{2} + 3 x^{2} y^{2}, y (0) = 5

(x-1)y^'=(4-y^2)

(x - 1) y^{^{'}} = (4 - y^{2})

(dy)/(dx)=sin(x)tan(y)

\frac{d y}{d x} = sin (x) tan (y)

(dy)/(dx)+5y=50

\frac{d y}{d x} + 5 y = 50

(t^2+1)y^'+ty=0

(t^{2} + 1) y^{^{'}} + t y = 0