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Beliebt Rechnen >

xyy^'=1-x^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of (x^3-x/x)

\frac{d}{d x} (\frac{x ^{3} - x}{x})

derivative of 4/((x^3+9^5))

\frac{d}{d x} (\frac{4}{( x ^{3} + 9 ) ^{5}})

(dx)/(dt)+2t^5x^7+x/t =0

\frac{d x}{d t} + 2 t^{5} x^{7} + \frac{x}{t} = 0

sum from n=0 to infinity of e^{-6n}

n = 0 \sum \infty e^{- 6 n}

steigung (7,-4),(8,8)

s l o p e (7, - 4), (8, 8)