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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

\int 7 x^{2} 1 - x^{3} d x

\frac{d y}{e ^{5 y}} = e^{4 x} d x

x \to \infty lim (- x^{4})

\frac{d y}{d x} = \frac{x ^{5} - 2 y}{x}

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