I am trying to determine how many solns. the PDE Ut = Uxx has. However, I have no idea how to solve this PDE.
Unlike ODE's which you are given a fairly "standard" y and x variable equation, PDE's just lose me from the beginning. Please show me how to solve such an equation as above, because I have about four others to solve and have no idea how to determine the number of solns to each. I am sure that if I am shown once, I can get the rest.