What is the solution for (y^2+xy^2)(dy)/(dx)=1 ?

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

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(y^2+xy^2)(dy)/(dx)=1

(y^{2} + x y^{2}) \frac{d y}{d x} = 1

y = 3 3 ln (x + 1) + c_{1}

Solution steps

(y^{2} + x y^{2}) \frac{d y}{d x} = 1

Solve separable ODE:

y = 3 3 ln (x + 1) + c_{1}

y = 3 3 ln (x + 1) + c_{1}

x \to - 1 lim (\frac{4 x ^{2} + 1}{x})

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