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Beliebt Rechnen >

(5x^3+3xy+2y^2)dx+(x^2+2xy)dy=0

Lösung

(5 x^{3} + 3 x y + 2 y^{2}) d x + (x^{2} + 2 x y) d y = 0

Lösung

y = \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}, y = - \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}

Schritte zur Lösung

(5 x^{3} + 3 x y + 2 y^{2}) d x + (x^{2} + 2 x y) d y = 0

Solve using substitution:

y = \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}, y = - \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}

y = \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}, y = - \frac{- 4 x ^{5} + x ^{4} + c _{1}}{2 x} - \frac{x}{2}

Graph

Beliebte Beispiele

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