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Beliebt Rechnen >

(xy^2)dx+(1+x^2y)dy=0

Lösung

(x y^{2}) d x + (1 + x^{2} y) d y = 0

Lösung

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

Schritte zur Lösung

(x y^{2}) d x + (1 + x^{2} y) d y = 0

Solve exact ODE:

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

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

Graph

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