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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

y = \frac{e ^{c_{1}}}{x - e ^{c_{1}}}

Graph

Beliebte Beispiele

integral of (4x)/((2x^2+3)^3)

\int \frac{4 x}{( 2 x ^{2} + 3 ) ^{3}} d x

integral of (x^2-3)/(x+1)

\int \frac{x ^{2} - 3}{x + 1} d x

integral of 1/(sqrt(4x^2+1))

\int \frac{1}{4 x ^{2} + 1} d x

limit as x approaches 1 of 3f(x)-2h(x)

x \to 1 lim (3 f (x) - 2 h (x))

derivative y=3^{cos(2x)}+e^3

d er i v a t i v e y = 3^{c o s (2 x)} + e^{3}