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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

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