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Beliebt Rechnen >

2(sqrt(xy)-y)dx-xdy=0

Lösung

2 (x y - y) d x - x d y = 0

Lösung

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

Schritte zur Lösung

2 (x y - y) d x - x d y = 0

Solve Bernoulli ODE:

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

Graph

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