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

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

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

x y^{2} + 3 y^{2} - x^{2} \frac{d y}{d x} = 0

y = - \frac{x}{x ln ( x ) - 3 + c _{1} x}

Solution steps

x y^{2} + 3 y^{2} - x^{2} \frac{d y}{d x} = 0

Solve separable ODE:

y = - \frac{x}{x ln ( x ) - 3 + c _{1} x}

y = - \frac{x}{x ln ( x ) - 3 + c _{1} x}

\int_{2}^{6} x d x

(\frac{x ^{2} + 3}{x ^{2} - 3})^{3}

\frac{\partial}{\partial x} (x \cdot e^{x y})

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

\frac{d}{d x} (x^{3} - 6 x^{2} + 9 x + 1)

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