Finding a Formal Solution to an Initial Boundary Value Problem

[violet glacier]

Move it to the other side divide by 2 then find the aux equation

[tawny spire]

-2r^2 + r = 0
r = 0, r = 1/2

[violet glacier]

The general form is Ae^0 + Be^.5

Oh wait they are with respect to different variables

Probably have to reduce them with a substitution