What is the solution for (xy^3+1)dx+x^2y^2dy=0 ?

The solution for (xy^3+1)dx+x^2y^2dy=0 is y=(\sqrt[3]{-3x^2+c_{1}})/(\sqrt[3]{2)x}

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

o f (o, y) y = \frac{π}{2}, (π, \frac{π}{2})

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

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

What is the solution for (xy^3+1)dx+x^2y^2dy=0 ?
The solution for (xy^3+1)dx+x^2y^2dy=0 is y=(\sqrt[3]{-3x^2+c_{1}})/(\sqrt[3]{2)x}