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

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

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(3xy^2+1y)dx+(3x^2y+1x)dy=0

(3 x y^{2} + 1 y) d x + (3 x^{2} y + 1 x) d y = 0

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

Solution steps

(3 x y^{2} + 1 y) d x + (3 x^{2} y + 1 x) d y = 0

Solve linear ODE:

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

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

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\frac{1}{1 + x}, 2

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