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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

8 e^{- 7 x}

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y^{^{'}} = x^{3}

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\frac{\partial}{\partial x} (sin (8 θ))

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