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

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

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

3 (1 + x^{2}) \frac{d y}{d x} = 2 x y (y^{3} - 1)

Solution steps

3 (1 + x^{2}) \frac{d y}{d x} = 2 x y (y^{3} - 1)

Solve separable ODE:

e^{- 2 s} \cdot \frac{1}{s - 3}

\int \frac{1}{( x ^{2} - 25 ) ^{\frac{1}{2}}} d x

f (x) = - x^{3}, at x = 2

x \to 0 lim (2 x e^{2 x} + k x)

y^{^{'}} = 3 x + y, y (0) = 6

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