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## Homework Statement

Solve the partial differential equation using laplas transforms:

U`(x)=a^2*U``(t)

given U(x,0)=2

There are more initial conditions but i am just trying to get to the general solution

## The Attempt at a Solution

First take laplas of the equation. Then I am trying to get it into a differential equation form that i know how to solve.

im not sure what method its called but I get

r^2 - s/(a^2)=0

Im not to sure if that is correct.