What is the solution for (dy)/(dx)=x^3e^{x^4} ?

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

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(dy)/(dx)=x^3e^{x^4}

\frac{d y}{d x} = x^{3} e^{x^{4}}

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

Solution steps

\frac{d y}{d x} = x^{3} e^{x^{4}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{3} e^{x^{4}}

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

then

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

y = \int x^{3} e^{x^{4}} d x

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

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

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