Work Sheet Assignment 12: Under the conditions (i) and (ii) of THM 3.4 (see Lec 18), prove (local) consistency order p = 2 of outer Theta methods (OTM) governed by the scheme 9n+1 = yn + hn[of(tu+1 Yn+1) + (1 - )S(ty] applied to IVPs dx/dt = $(t,0), (0) = 20 = yo with Cipt> (0,7) x R) along any partitions (). IN of (0,7) while 0 (0.1) is any real constant, hon (0,7) x R) along any partitions (). IN of (0,7) while 0 (0.1) is any real constant, hon