(dy)/(dx)=(x^2-y^2)/(3xy)

Lösung

\frac{d y}{d x} = \frac{x ^{2} - y ^{2}}{3 x y}

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{2} - y ^{2}}{3 x y}

Solve Bernoulli ODE:

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

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