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Beliebt Rechnen >

x^2((dy)/(dx))+xy=1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 0 of (e^{x^2}-1)/x

x \to 0 lim (\frac{e ^{x^{2}} - 1}{x})

derivative (sqrt(x))/(x^3+1)

d er i v a t i v e \frac{x}{x ^{3} + 1}

(dy)/(dx)=3xcos(x^2)

\frac{d y}{d x} = 3 x cos (x^{2})

10 x y y^{^{'}} = 1 - y^{2}

derivative of 6x-1

\frac{d}{d x} (6 x - 1)