Hydrograph analysis of an extreme flood event on a 6.97 mi² watershed indicated that the rainfall excess pattern was:

Time (hours)	0-2	2-4	4-6
Pe (in)	0.43	1.77	2.81

and the direct runoff hydrgraph was:

Use this information to determine the 2-hour unit hydrograph for the watershed by back substititution.

1. Set up the set of deconvolution equations to predict the direct runoff hydrograph using the terms u₀, u₁, ..., u_n, for the unknown 2-hour unit hydrograph values.
2. Solve the deconvolution equations using back substitution