What is the solution for (dy)/(dx)=y(4x^2+1) ?

The solution for (dy)/(dx)=y(4x^2+1) is y=e^{(4x^3)/3+x+c_{1}}

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(dy)/(dx)=y(4x^2+1)

\frac{d y}{d x} = y (4 x^{2} + 1)

y = e^{\frac{4 x ^{3}}{3} + x + c_{1}}

Solution steps

\frac{d y}{d x} = y (4 x^{2} + 1)

Solve separable ODE:

y = e^{\frac{4 x ^{3}}{3} + x + c_{1}}

y = e^{\frac{4 x ^{3}}{3} + x + c_{1}}

y = \frac{x}{3}

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What is the solution for (dy)/(dx)=y(4x^2+1) ?
The solution for (dy)/(dx)=y(4x^2+1) is y=e^{(4x^3)/3+x+c_{1}}