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Beliebt Rechnen >

(2xy+2y^2)dx+(x^2+4xy)dy=0

Lösung

(2 x y + 2 y^{2}) d x + (x^{2} + 4 x y) d y = 0

Lösung

y = \frac{- x ^{2} + x ^{4} + 8 c _{1} x}{4 x}, y = \frac{- x ^{2} - x ^{4} + 8 c _{1} x}{4 x}

Schritte zur Lösung

(2 x y + 2 y^{2}) d x + (x^{2} + 4 x y) d y = 0

Solve exact ODE:

y = \frac{- x ^{2} + x ^{4} + 8 c _{1} x}{4 x}, y = \frac{- x ^{2} - x ^{4} + 8 c _{1} x}{4 x}

y = \frac{- x ^{2} + x ^{4} + 8 c _{1} x}{4 x}, y = \frac{- x ^{2} - x ^{4} + 8 c _{1} x}{4 x}

Graph

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