What is the solution for y^'+x*y=x*y^3 ?

The solution for y^'+x*y=x*y^3 is y=sqrt(1/(e^{x^2-c_{1))+1}},y=-sqrt(1/(e^{x^2-c_{1))+1}}

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y^'+xy=xy^3

y^{^{'}} + x \cdot y = x \cdot y^{3}

y = \frac{1}{e ^{x^{2} - c_{1}} + 1}, y = - \frac{1}{e ^{x^{2} - c_{1}} + 1}

Solution steps

y^{'} (x) + x \cdot y = x \cdot y^{3}

Solve Bernoulli ODE:

y = \frac{1}{e ^{x^{2} - c_{1}} + 1}, y = - \frac{1}{e ^{x^{2} - c_{1}} + 1}

y = \frac{1}{e ^{x^{2} - c_{1}} + 1}, y = - \frac{1}{e ^{x^{2} - c_{1}} + 1}

n = 0 \sum \infty 5 (- \frac{4}{3})^{n}

\int (x^{3} - \frac{1}{x ^{2}} - x^{\frac{2}{3}}) d x

\int 36 - (0.6 x^{2} + 2 x + 11) d x

\int_{0}^{\frac{π}{2}} 1 - 4 sin^{2} (x) d x

2 x^{- \frac{3}{4}}

What is the solution for y^'+x*y=x*y^3 ?
The solution for y^'+x*y=x*y^3 is y=sqrt(1/(e^{x^2-c_{1))+1}},y=-sqrt(1/(e^{x^2-c_{1))+1}}