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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int_{2}^{3} (5 x^{- 1}) d x

x y^{^{'}} + y = 4 x y^{2}

\frac{d}{d x} (\frac{x}{x ^{- 1} + 13})

2^{50}

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

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