# Partial differential equations with laplas

jd1828

## 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.