u(1) = 15.46778810945426 when u'(0) = -0.9000000000000004
u(1) = -16.90292511842157 when u'(0) = -12.56778810945426
u(1) = 3.799999999987008 when u'(0) = -5.10556934933051
xs = [0, 0.0625, 0.125, 0.1875, 0.25, 0.3125, 0.375, 0.4375, 0.5, 0.5625, 0.625, 0.6875, 0.75, 0.8125, 0.875, 0.9375, 1];
us = [4.7, 4.398064186474923, 4.12940935077261, 3.892712970756129, 3.686979887385521, 3.511550567652772, 3.366114234575524, 3.250727347313783, 3.165838014655906, 3.112317040646045, 3.091496429963934, 3.105216332131812, 3.15588157478832, 3.246529134214514, 3.380908119705686, 3.563574112146155, 3.799999999987008];
plot( xs, us );
u(2) = 3.72484280446449 when u'(1) = -1
u(2) = 3.564120374361161 when u'(1) = -1.72484280446449
u(2) = 3.144672718088864 when u'(1) = -4.268971797192006
u(2) = 3.032985010284866 when u'(1) = -5.146473557048383
u(2) = 3.002252427266331 when u'(1) = -5.405628348054081
u(2) = 3.000036716100543 when u'(1) = -5.424622108425916
u(2) = 3.000000041318804 when u'(1) = -5.424936850178478
u(2) = 2.999999999999936 when u'(1) = -5.424937204775079
xs = [1, 1.0625, 1.125, 1.1875, 1.25, 1.3125, 1.375, 1.4375, 1.5, 1.5625, 1.625, 1.6875, 1.75, 1.8125, 1.875, 1.9375, 2];
us = [4, 3.730607594028063, 3.551808359979916, 3.424529393216187, 3.330056911014066, 3.257983091605685, 3.201934708220862, 3.157738348035081, 3.122523543690153, 3.094241238292252, 3.071386026843295, 3.052826574040283, 3.03769717761821, 3.02532571566167, 3.015184194888807, 3.006853861863534, 2.999999999999936];
plot( xs, us );
