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

Solution steps

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

Solve separable ODE:

x^{2} \frac{d y}{d x} - 2 x y = 6 y^{4}, y (1) = \frac{1}{4}

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

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

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

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}}