What is the solution for (dy)/(dx)=y(xy^3-1) ?

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

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(dy)/(dx)=y(xy^3-1)

\frac{d y}{d x} = y (x y^{3} - 1)

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

Solution steps

\frac{d y}{d x} = y (x y^{3} - 1)

Solve Bernoulli ODE:

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

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

\frac{d}{d x} (arccsc (\frac{x + 1}{1 - x}))

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e - 4 x, y (0) = - 5, y^{^{'}} (0) = 1

\int 11 - 10 x - x^{2} d x

\int \frac{2}{( 1 + x ^{2} )} - \frac{4}{x} d x

f (x) = 3 x^{5} + 2 x^{2}

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