What is the solution for (xy^2+x^3)dx+(y^3+x^2y)dy=0 ?

The solution for (xy^2+x^3)dx+(y^3+x^2y)dy=0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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(xy^2+x^3)dx+(y^3+x^2y)dy=0

(x y^{2} + x^{3}) d x + (y^{3} + x^{2} y) d y = 0

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

(x y^{2} + x^{3}) d x + (y^{3} + x^{2} y) d y = 0

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

What is the solution for (xy^2+x^3)dx+(y^3+x^2y)dy=0 ?
The solution for (xy^2+x^3)dx+(y^3+x^2y)dy=0 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}