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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

Schritte zur Lösung

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

Solve using substitution:

y = \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

y = \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

Graph

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