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Beliebt Rechnen >

(xy^3+1)dx+x^2y^2dy=0

Lösung

(x y^{3} + 1) d x + x^{2} y^{2} d y = 0

Lösung

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

Schritte zur Lösung

(x y^{3} + 1) d x + x^{2} y^{2} d y = 0

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

x(dy)/(dx)-x^2y=-x^2

x \frac{d y}{d x} - x^{2} y = - x^{2}

(y^'-e^{-t}+4)/y =-4,y(0)=3

\frac{y ^{^{'}} - e ^{- t} + 4}{y} = - 4, y (0) = 3

derivative of arcsec(x^2+1)

\frac{d}{d x} (arcsec (x^{2} + 1))

limit as x approaches infinity of 3x^3(e^{-2/(x^3)}-1)

x \to \infty lim (3 x^{3} (e^{- \frac{2}{x ^{3}}} - 1))

integral of pixcos(2x)

\int π x cos (2 x) d x