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

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

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

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

y = \frac{π}{2} erfi (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} erfi (x) + c_{1}

y = \frac{π}{2} erfi (x) + c_{1}

(ln (x))^{4}

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

ln (8 x)

n = 1 \sum \infty \frac{n}{2 n ^{2} + 1}

\int_{0}^{3} x e^{- x} d x

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