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

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

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

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

y = - \frac{x}{- 1 + 2 x - 2 x ln ( x ) + c _{1} x}

Solution steps

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

Solve separable ODE:

y = - \frac{x}{- 1 + 2 x - 2 x ln ( x ) + c _{1} x}

y = - \frac{x}{- 1 + 2 x - 2 x ln ( x ) + c _{1} x}

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