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

The solution for (dy)/(dx)=(3x^2)/(y(1-x^3)) is y=sqrt(-2ln(1-x^3)+c_{1)},y=-sqrt(-2ln(1-x^3)+c_{1)}

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

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

y = - 2 ln (1 - x^{3}) + c_{1}, y = - - 2 ln (1 - x^{3}) + c_{1}

Solution steps

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

Solve separable ODE:

y = - 2 ln (1 - x^{3}) + c_{1}, y = - - 2 ln (1 - x^{3}) + c_{1}

y = - 2 ln (1 - x^{3}) + c_{1}, y = - - 2 ln (1 - x^{3}) + c_{1}

\frac{d}{d x} (- 32 cos (8 x))

\frac{d}{d x} (\frac{2 x + 9}{2 x})

f (x) = x^{2} + x - 2

\frac{d}{d x} (\frac{cos ( x )}{ln ( x )})

\int cos (x) a^{s i n (x)} d x

What is the solution for (dy)/(dx)=(3x^2)/(y(1-x^3)) ?
The solution for (dy)/(dx)=(3x^2)/(y(1-x^3)) is y=sqrt(-2ln(1-x^3)+c_{1)},y=-sqrt(-2ln(1-x^3)+c_{1)}