beam2.f90 running
 E=  10.0000000000000000  I=   9.0000000000000000  W=   7.0000000000000000
 L=   8.0000000000000000  h=   1.0000000000000000  n= 9
 Analytic Solution.
 beam x=  0.0000000000000000E+000   y= -0.0000000000000000E+000
                        slope=  0.0000000000000000E+000
 beam x=   1.0000000000000000   y=  -1.9849537037037037E-02
                        slope=  -3.4027777777777775E-02
 beam x=   2.0000000000000000   y=  -5.8333333333333334E-02
                        slope=  -3.8888888888888896E-02
 beam x=   3.0000000000000000   y=  -9.1145833333333329E-02
                        slope=  -2.4305555555555556E-02
 beam x=   4.0000000000000000   y=  -0.1037037037037037
                        slope=  -3.9474596431116678E-17
 beam x=   5.0000000000000000   y=  -9.1145833333333329E-02
                        slope=   2.4305555555555556E-02
 beam x=   6.0000000000000000   y=  -5.8333333333333334E-02
                        slope=   3.8888888888888890E-02
 beam x=   7.0000000000000000   y=  -1.9849537037037037E-02
                        slope=   3.4027777777777775E-02
 beam x=   8.0000000000000000   y= -0.0000000000000000E+000
                        slope=  -7.8949192862233357E-17
 Numerical Solution.
 Fourth order difference equation solution 
 boundary dy/dx=0 fourth order
n=  7, h=.10000E+01, C=   1.00 -4.00  6.00 -4.00  1.00
 solve A y = F for y 
                            A                            F 
 48.000
-36.000
 16.000
 -3.000
  0.000
  0.000
  0.000
  0.0000000000000000E+000
 -4.000
  6.000
 -4.000
  1.000
  0.000
  0.000
  0.000
  -9.7222222222222224E-03
  1.000
 -4.000
  6.000
 -4.000
  1.000
  0.000
  0.000
  -9.7222222222222224E-03
  0.000
  1.000
 -4.000
  6.000
 -4.000
  1.000
  0.000
  -9.7222222222222224E-03
  0.000
  0.000
  1.000
 -4.000
  6.000
 -4.000
  1.000
  -9.7222222222222224E-03
  0.000
  0.000
  0.000
  1.000
 -4.000
  6.000
 -4.000
  -9.7222222222222224E-03
  0.000
  0.000
  0.000
 -3.000
 16.000
-36.000
 48.000
  0.0000000000000000E+000
 fourth order difference equations are exact within
 numerical accuracy when solution is fourth order.
 x=0.0  y=0.0  boundary
 x=   1.0000000000000000  y=   -1.9849537037036919E-02
 x=   2.0000000000000000  y=   -5.8333333333332890E-02
 x=   3.0000000000000000  y=   -9.1145833333332621E-02
 x=   4.0000000000000000  y=   -0.1037037037037029
 x=   5.0000000000000000  y=   -9.1145833333332649E-02
 x=   6.0000000000000000  y=   -5.8333333333332911E-02
 x=   7.0000000000000000  y=   -1.9849537037036909E-02
 x=   8.0000000000000000   y=0.0  boundary