What is the solution for (x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0 ?

The solution for (x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0 is y=(\sqrt[3]{arctan(3x)+c_{1}})/x

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(x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + (x^{3} y^{2}) d y = 0

Solution steps

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + (x^{3} y^{2}) d y = 0

Solve Bernoulli ODE:

What is the solution for (x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0 ?
The solution for (x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0 is y=(\sqrt[3]{arctan(3x)+c_{1}})/x