x(dy)/(dx)=y+(x^2+y^2)^{1/2}

Lösung

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

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

Schritte zur Lösung

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