What is the solution for (4xy^2+4y)dx+(4x^2y+4x)dy=0 ?

The solution for (4xy^2+4y)dx+(4x^2y+4x)dy=0 is y=(c_{1})/x

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(4xy^2+4y)dx+(4x^2y+4x)dy=0

(4 x y^{2} + 4 y) d x + (4 x^{2} y + 4 x) d y = 0

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

Solution steps

(4 x y^{2} + 4 y) d x + (4 x^{2} y + 4 x) d y = 0

Solve separable ODE:

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

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

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What is the solution for (4xy^2+4y)dx+(4x^2y+4x)dy=0 ?
The solution for (4xy^2+4y)dx+(4x^2y+4x)dy=0 is y=(c_{1})/x