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Beliebt Rechnen >

(2x+yx^{-1})dx+(xy-1)dy=0

Lösung

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

Lösung

y = \frac{1 + - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}, y = \frac{1 - - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}

Schritte zur Lösung

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

Solve exact ODE:

y = \frac{1 + - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}, y = \frac{1 - - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}

y = \frac{1 + - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}, y = \frac{1 - - 2 x ^{2} ( 2 x - c _{1} ) + 1}{x}

Graph

Beliebte Beispiele

derivative of ln|tan(x/2 |)

\frac{d}{d x} (ln tan (\frac{x}{2}))

derivative of (sqrt(9-x^2)/(32x))

\frac{d}{d x} (\frac{9 - x ^{2}}{32 x})

derivative s(t)=14t^2+840t

d er i v a t i v e s (t) = 14 t^{2} + 840 t

s im pl i f y 0

limit as x approaches 0 of (0*x^6)/(x^9)

x \to 0 lim (\frac{0 \cdot x ^{6}}{x ^{9}})