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Beliebt Rechnen >

xy^'+y(1+ln(xy))=0

Lösung

x y^{^{'}} + y (1 + ln (x y)) = 0

Lösung

y = \frac{e ^{\frac{c _{1}}{x}}}{x}

Schritte zur Lösung

x y^{'} (x) + y (1 + ln (x y)) = 0

Solve using substitution:

y = \frac{e ^{\frac{c _{1}}{x}}}{x}

y = \frac{e ^{\frac{c _{1}}{x}}}{x}

Graph

Beliebte Beispiele

integral of 8sqrt(x)

\int 8 x d x

derivative of (3x^2+4x-2/x)

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

d er i v a t i v e \frac{5}{x}

integral of x/(a^2+x^2)

\int \frac{x}{a ^{2} + x ^{2}} d x

limit as h approaches 0 of 4h-h^2

h \to 0 lim (4 h - h^{2})