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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\int_{0}^{2} x^{3} x^{2} + 4 d x

\frac{\partial}{\partial y} (4 y - 3 x^{2})

\int \frac{x ^{4}}{( 3 + x ^{5} ) ^{2}} d x

\int \frac{1}{x \cdot ln ( x )} d x

\frac{d}{d x} (4 x + 10)

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