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} \cdot \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} \cdot \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}

y^{^{'}} - y = t e^{3 t}

\int \frac{1}{x + 1} d x

x \to - 1 lim (\frac{ln ( x )}{x - 1})

x \to - 2 - lim ((3 x^{2}) - 6 x + 2)

\frac{d}{d x} (4 - 5 x)

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}