I am not familiar with the method in part one, but for the 2nd one you have
Now using the intial conditions gives
This gives
This gives
Folks,
trying 2 methods, neither working out for me
1)Method of Characteristics
given u(x,0)=x
,
Using IC's, , let
but the correct is
2) Parameterise x and y with s with the given IC's
Not sure what is next, when I use the IC's, it doesnt look right.
THanks