graph of differenc equation

The graph of the equation The below graph shows the smallest value for alpha separately . The below graph shows the smallest values for alpha separately   3 2 3 2 1 1 2 2 1 1 1 1 3 3 24 2 2 8 4 dF a a a a a a da F                                     3 1 4 dF a aa dF      3 3 1 1 1 4 dF a aa dF         3 12 1 1 4 dF a aa dF        2 2 2 3 3 1 21 1 1 2 4 2 8 8F a a a a                 2 0.4     12 0.125   The below graph combines all of the values for alpha the blue curve represents the graph when , the red curve represents the graph when , and the green curve represents the graph when , 2 0.5   11 2, 1, 0.5       2 0.25   11 2, 1, 0.25       2 0.125   11 2, 1, 0.125      