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}

\int (2 x - 3 x - x^{4}) d x

y^{^{''}} + y^{^{'}} = sec (x) tan (x)

f (x) = \frac{8 x}{8 + x}

y^{^{'}} = \frac{( 1 + y ^{6} )}{x y ^{5}}

\frac{d}{d x} (x^{3} y^{2} - 3 x sin (x y))

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}}