Hi all, I am currently trying to answer this question

Sketch the solutions of the one-dimensional
heat equation over a one-dimensional domain
of infinite extent -infinity<x<infinity for an initially narrow spike in temperature.

I have so far done separation of variables to get the general solution but really can't find an answer anywhere about how to even start this.

Would be so grateful if someone could help me!


P.S. Sorry for the lack of latex coding, don't know how to work it on this site