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

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

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

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

y = e^{\frac{π}{2} erf (x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{π}{2} erf (x) + c_{1}}

y = e^{\frac{π}{2} erf (x) + c_{1}}

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\int e^{\frac{r}{2}} d r

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\int (7^{x} - sec^{2} (x)) d x

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