What is the solution for (dy)/(dx)=6x^2+6x^2y^2 ?

The solution for (dy)/(dx)=6x^2+6x^2y^2 is y=tan(2x^3+c_{1})

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(dy)/(dx)=6x^2+6x^2y^2

\frac{d y}{d x} = 6 x^{2} + 6 x^{2} y^{2}

y = tan (2 x^{3} + c_{1})

Solution steps

\frac{d y}{d x} = 6 x^{2} + 6 x^{2} y^{2}

Solve separable ODE:

y = tan (2 x^{3} + c_{1})

y = tan (2 x^{3} + c_{1})

\frac{d y}{d x} = \frac{( ln ( x ) ) ^{6}}{x y ^{2}}

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

y^{^{'}} + 5 y^{3} = 0

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

y^{'} (t) = y (y + 1)^{2}, y (0) = 1

What is the solution for (dy)/(dx)=6x^2+6x^2y^2 ?
The solution for (dy)/(dx)=6x^2+6x^2y^2 is y=tan(2x^3+c_{1})