deletions | additions       diff --git a/Problem 1.tex b/Problem 1.tex  index 922722e..ccfae30 100644  --- a/Problem 1.tex  +++ b/Problem 1.tex 
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\section{Problem 1}  Define the function we will be using for the forward differencing as \[u=ge^{ikx_j}\] and the forward differencing equation as \[\Delta_x^{'}=\frac{f_{j+1}-f_j}{\Delta}\] where are function $f$ will be our functuon $u$.\\  Putting this is we get \[\Delta_x^{'}=\frac{ge^{ik(x_{j+1})-ge^{ikx_j}}}{\Delta}\] \[\Delta_x^{'}=\frac{ge^{ikx_{j+1}-ge^{ikx_j}}}{\Delta}\]