Using python code, and compile a computer code using the Nonlinear Finite$-$Differential Algorithm with

TOL$=104$

to approximate the solution to the following boundary$-$value problem,

y

$=$e

$2$y

$,1$ x $2,$ y$(1)=0,$ y$(2)=$ ln $2,$

$($Use N $=9,$ the actual solution is y$($x$)=$ ln x$).$

$($