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Beliebt Rechnen >

y^'=(2x)/(y+x^2y)

Lösung

y^{^{'}} = \frac{2 x}{y + x ^{2} y}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{2 x}{y + x ^{2} y}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral from 1 to e of ln^2(x)

\int_{1}^{e} ln^{2} (x) d x

integral of 1/8 x

\int \frac{1}{8} x d x

derivative (sqrt(x))/(3(x^2+1))

d er i v a t i v e \frac{x}{3 ( x ^{2} + 1 )}

slopeintercept (3,2),(6,8)

s l o p e in t erce pt (3, 2), (6, 8)

integral of (sin(x/2))

\int (sin (\frac{x}{2})) d x