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Beliebt Rechnen >

y^'= y/x+sqrt(1+(y/x)^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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