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Beliebt Rechnen >

y^2dx=(2xy+x^2)dy

Lösung

y^{2} d x = (2 x y + x^{2}) d y

Lösung

y = \frac{- x + x ^{2} + 4 c _{1} x}{2}, y = \frac{- x - x ^{2} + 4 c _{1} x}{2}

Schritte zur Lösung

y^{2} d x = (2 x y + x^{2}) d y

Solve using substitution:

y = \frac{- x + x ^{2} + 4 c _{1} x}{2}, y = \frac{- x - x ^{2} + 4 c _{1} x}{2}

y = \frac{- x + x ^{2} + 4 c _{1} x}{2}, y = \frac{- x - x ^{2} + 4 c _{1} x}{2}

Graph

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