$(15")$ Knowing the slope and deflection at the free end of cantileven beam indiagran $($a$),$

$($c$).($b$)$ and $($c$).$

$($a$)w_1=-\frac{q{I}^4}{8EI},{}_1=-\frac{q{I}^3}{6EI}$;

$($b$)w_1=-\frac{F{I}^3}{3EI},{}_1=-\frac{F{l}^2}{2EI}$;

$($c$)w_1=-\frac{M_e{l}^2}{2EI},{}_1=-\frac{M_{e}l}{EI}$;