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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

2 lo g_{5} (x)

x \to 6 lim ((10) (- 5))

\int \frac{1}{3}

\int \frac{1}{2} x^{- 2} d x

8 cos (4 x)

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