What is the solution for 8xy^3dx+12x^2y^2dy=0 ?

The solution for 8xy^3dx+12x^2y^2dy=0 is y=(c_{1})/(x^{2/3)}

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8xy^3dx+12x^2y^2dy=0

8 x y^{3} d x + 12 x^{2} y^{2} d y = 0

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

Solution steps

8 x y^{3} d x + 12 x^{2} y^{2} d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

\frac{d y}{d x} + 3 y = 0, y > 0

\frac{d y}{d t} = e^{(t + y)}

\frac{d y}{d x} = \frac{2 ln ( x )}{x y}

\frac{d y}{d x} + x^{4} y = 4 x^{4}

x^{^{'}} = \frac{x ^{2} + x}{2 x + 1}, x (0) = 1

What is the solution for 8xy^3dx+12x^2y^2dy=0 ?
The solution for 8xy^3dx+12x^2y^2dy=0 is y=(c_{1})/(x^{2/3)}