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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{e ^{- s}}{s - 5}

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

x \to 0 lim (e^{2 x} + 10 x)

\frac{x ^{2} - 4 x + 3}{( x - 2 ) ^{2}}

\frac{\partial}{\partial x} (arctan (x^{4} y^{3}))

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