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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x}{- ln ( x ) + c _{1}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{x}{- ln ( x ) + c _{1}}

y = \frac{x}{- ln ( x ) + c _{1}}

Graph

Beliebte Beispiele

integral of (4x+3)cos(x)

\int (4 x + 3) cos (x) d x

y^{''}+3y^'+2=0

y^{^{''}} + 3 y^{^{'}} + 2 = 0

integral from 1 to 9 of e^{sqrt(x)}

\int_{1}^{9} e^{x} d x

sum from k=1 to infinity of 1/(k^4)

k = 1 \sum \infty \frac{1}{k ^{4}}

derivative 4x^2cos(x)+3x

d er i v a t i v e 4 x^{2} cos (x) + 3 x