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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

derivative \sqrt[3]{t}

d er i v a t i v e 3 t

integral of sqrt(x)-(x-2)

\int x - (x - 2) d x

derivative ln(w)

d er i v a t i v e ln (w)

d/(dt)(acos(t)+t^2sin(t))

\frac{d}{d t} (a cos (t) + t^{2} sin (t))

derivative g(t)=sqrt(3t+\sqrt{5t+9)}

d er i v a t i v e g (t) = 3 t + 5 t + 9