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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

2xdx+sin(y)dy=0

2 x d x + sin (y) d y = 0

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

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

y^'=2sqrt(y+1)cos(x)

y^{^{'}} = 2 y + 1 cos (x)

(dy}{dx}=\frac{20x^4)/y ,y>0,x>0

\frac{d y}{d x} = \frac{20 x ^{4}}{y}, y > 0, x > 0

(dy}{dx}=\frac{x^2e^{x^3-y^2})/y

\frac{d y}{d x} = \frac{x ^{2} e ^{x^{3} - y^{2}}}{y}