For a rectangle channel with $100m$ width, $10km$ length, $\%1$ bed slope, $0\mathrm{.}03$ manning

coefficient, inflow hydrograph is given in Table $1.$

a$)$ Calculate outflow hydrograph by analytical solution of the kinematic wave equations.

b$)$ Develop linear kinematic wave model and route inflows $($take $x=1km,t=5$min, no

lateral inflow, $60\frac{m^3}{s}$ initial uniform flow in the channel$)$

Table $1.$ Inflow hydrograph $(\frac{m^3}{s})$ PLEASE SOLVE WITH DETAIL MATHEMATICALLY