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) = 2.645593194576809 when u'(1) = -1
u(2) = 3.056174284836357 when u'(1) = -0.6455931945768087
u(2) = 2.996291499150781 when u'(1) = -0.6940819080321714
u(2) = 2.999963177252917 when u'(1) = -0.691079034452259
u(2) = 3.000000024340236 when u'(1) = -0.6910489190523571
u(2) = 2.999999999999842 when u'(1) = -0.6910489389458143
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, 3.955451849738678, 3.908163790258924, 3.858115452336214, 3.805311143489427, 3.749782646340011, 3.69159168545292, 3.630831925478767, 3.567630346512443, 3.502147880829614, 3.434579177379271, 3.365151421434927, 3.294122154483454, 3.221776100393117, 3.148421046561219, 3.074382889436662, 2.999999999999842];
plot( xs, us );