Question

please solve itn for intial value dy/dx=ye^(-x^2) , y(4)=1

Answer 1

If it's really like this, with the exponent being -x^2\[\Large \frac{ dy }{ dx }=y e^{-x^2}\]then you have to use that error function... http://mathworld.wolfram.com/Erf.html

http://www.wolframalpha.com/input/?i=dy%2Fdx%3Dye%5E(-x%5E2)