What is the solution for (dy)/(dx)=x^2e^{x^3} ?

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

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(dy)/(dx)=x^2e^{x^3}

\frac{d y}{d x} = x^{2} e^{x^{3}}

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

Solution steps

\frac{d y}{d x} = x^{2} e^{x^{3}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{2} e^{x^{3}}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x^{2} e^{x^{3}} d x

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

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

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