What is the solution for (dy)/(dx)=xy^3 ?

The solution for (dy)/(dx)=xy^3 is y=sqrt(-1/(x^2+c_{1))},y=-sqrt(-1/(x^2+c_{1))}

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(dy)/(dx)=xy^3

\frac{d y}{d x} = x y^{3}

y = - \frac{1}{x ^{2} + c _{1}}, y = - - \frac{1}{x ^{2} + c _{1}}

Solution steps

\frac{d y}{d x} = x y^{3}

Solve separable ODE:

y = - \frac{1}{x ^{2} + c _{1}}, y = - - \frac{1}{x ^{2} + c _{1}}

y = - \frac{1}{x ^{2} + c _{1}}, y = - - \frac{1}{x ^{2} + c _{1}}

\int \frac{1}{x ^{2} + 12} d x

3 x, 9 x^{2}

n = 1 \sum \infty \frac{2 n}{1 1 ^{n}}

\frac{d y}{d x} = 3 + e^{(- 3 x + y + 4)}

\frac{\partial}{\partial x} (x^{2} + x y^{3})

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