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

The solution for (dy)/(dx)=e^{-x^2} is y=(sqrt(pi))/2 \erf(x)+c_{1}

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

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

y = \frac{π}{2} erf (x) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

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

then

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

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

\int e^{- x^{2}} d x = \frac{π}{2} erf (x) + c_{1}

y = \frac{π}{2} erf (x) + c_{1}

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What is the solution for (dy)/(dx)=e^{-x^2} ?
The solution for (dy)/(dx)=e^{-x^2} is y=(sqrt(pi))/2 \erf(x)+c_{1}