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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\int_{\frac{π}{2}}^{π} 5 cot (\frac{x}{2}) d x

\int - \frac{2 x ^{3} + 24 x}{x ^{4} - 16} d x

(1 + y^{2}) d x = x d y

y = x

\frac{( s ^{2} + 5 )}{( s ^{2} + 5 s + 16 )}

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