What is the solution for (dy)/(dx)=(3x^2*(1+y^2)) ?

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

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(dy)/(dx)=(3x^2*(1+y^2))

\frac{d y}{d x} = (3 x^{2} \cdot (1 + y^{2}))

y = tan (x^{3} + c_{1})

Solution steps

\frac{d y}{d x} = (3 x^{2} \cdot (1 + y^{2}))

Solve separable ODE:

y = tan (x^{3} + c_{1})

y = tan (x^{3} + c_{1})

y = x^{2} + 9

\frac{x - x}{x ^{\frac{1}{4}}}

(1 - x)^{\frac{1}{4}}, 0

\int cos (x + \frac{π}{3}) d x

\int_{5}^{6} (\frac{7}{x ^{2}} - 1) d x

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