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

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

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

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

y = \frac{c _{1}}{x}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

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