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

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

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

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

y = e^{\frac{2 x ^{3}}{3} + 6 x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{2 x ^{3}}{3} + 6 x + c_{1}}

y = e^{\frac{2 x ^{3}}{3} + 6 x + c_{1}}

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

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