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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=(7+x)e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = (7 + x) e^{- 2 x}

derivative of 1/x+2/(x^2)

\frac{d}{d x} (\frac{1}{x} + \frac{2}{x ^{2}})

derivative of (cos(x)^{ln(x)})

\frac{d}{d x} ((cos (x))^{l n (x)})

derivative sqrt(2+x)

d er i v a t i v e 2 + x

derivative 1/(4y^2)

d er i v a t i v e \frac{1}{4 y ^{2}}