I would like to solve the following differential equation
$ y' = \alpha e^{-y^2} $
How should I proceed ?
I would like to solve the following differential equation
$ y' = \alpha e^{-y^2} $
How should I proceed ?
Solve the differential equation as x is a function in y. This gives the answer:
$ x={\frac {1/2\,i\sqrt {\pi }\,{{\rm erf}\left(iy\right)}}{\alpha}} + C $.