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Beliebt Rechnen >

xy^'-yln(y)=0

Lösung

x y^{^{'}} - y ln (y) = 0

Lösung

y = e^{c_{1} x}

Schritte zur Lösung

x y^{'} (x) - y ln (y) = 0

Solve separable ODE:

y = e^{c_{1} x}

y = e^{c_{1} x}

Graph

Beliebte Beispiele

y^{^{'}} - 4 x y = 2 x

(dy)/(dx)=(7(1+x))/(xy)

\frac{d y}{d x} = \frac{7 ( 1 + x )}{x y}

((dy)/(dx)}{1-y}=\frac{x^2)/2

\frac{\frac{d y}{d x}}{1 - y} = \frac{x ^{2}}{2}

2xydx+(1+x^2)dy=0

2 x y d x + (1 + x^{2}) d y = 0

sqrt(x^3+1)(dy)/(dx)=x^2y+x^2

x^{3} + 1 \frac{d y}{d x} = x^{2} y + x^{2}