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

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

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

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

y = - \frac{3}{3 x + x ^{3} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{3}{3 x + x ^{3} + c _{1}}

y = - \frac{3}{3 x + x ^{3} + c _{1}}

ln (3 - 2 x)

\int (\frac{x ^{2} + 9}{x ^{3}}) d x

3 cos^{3} (5 x)

y^{^{'}} = \frac{2 x y - y ^{2}}{x ^{2}}

\frac{d}{d y} (d y)

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