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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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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