Question

find an explicit solution to the given initial value problem
dy/dx = ye^-x^2 y(4)=1
I am stuck on the integral of e^-x^2
pleas show work

Answer 1

This cannot be solved using elementary methods.
It's called the "Error Function".

There might be some goofy way to get through it, like with power series, but I'm not really sure.

You're probably just suppose to use the definition or something.. I dunno :3
http://www.wolframalpha.com/input/?i=integral+e%5E%28-x%5E2%29

Answer 2

Thank you! This actually did help me!