Application example summary text:
EXAMPLE=104
Solution of the ODE u" + u + x = 0 for x in ]0,1[ 
with various boundary conditions, by Galerkin's method.
Optional source to post-process invoked if keywords "post_1" 
and/or "post_2" appear in the keywords control.
EXACT_CASE =  9 is exact source for BC set u(0)=0=u(1), or 
 u(0)=0 and u'(1)=cos(1)/sin(1) - 1 is u(x) = sin(x)/sin(1) - x.
EXACT_CASE = 10 is source for EBC u(0)=0, and natural BC u'(1)=0.
 The solution u(x) = sin(x)/cos(1) - x

DATA_SET= 01
U,XX + U + X = 0, U(0)=0=U(1), U = Sin(x)/Sin(1) - x            
Here we use six linear (L2) line elements.
This is EXACT_CASE = 9

DATA_SET=2
U,XX + U + X = 0, U(0)=0, U'(1)=-0.3579, U = Sin(x)/Sin(1) - x
Here we use six linear (L2) line elements.
This is EXACT_CASE = 9 

DATA_SET=3
U,XX + U + X = 0, U(0)=0, U'(1)=0, U = Sin(x)/Cos(1) - x
Here we use six linear (L2) line elements.
This is EXACT_CASE = 10

DATA_SET=4
U,XX + U + X = 0, U(0)=0=U(1), U = Sin(x)/Sin(1) - x            
Here we use three quadratic (L3) line elements.
This is EXACT_CASE = 9

DATA_SET=5
U,XX + U + X = 0, U(0)=0=U(1), U = Sin(x)/Sin(1) - x            
Here we use two cubic (L4) line elements. Error < 1% Energy Norm
This is EXACT_CASE = 9

DATA_SET=6
U,XX + U + X = 0, U(0)=0=U(1), U = Sin(x)/Sin(1) - x            
Here we use one cubic (L4) line element. This corresponds to 
the global Galerkin example give in the text discussion of
weighted residual methods.
This is EXACT_CASE = 9