Find a solution to the heat equation,
(k>0 is a constant)
which takes the form
for some which is twice differentiable in s.
(Hint: find out the form that must take by substituting into the equation.)
I...dono what i'm supposed to do. We went over deriving the heat equation in class and proving a solution is unique, but not so much the actual solving part. How do I go about solving such kinds of problems?