2nd order PDE charcteristics... help please! :S

[Sarahisme]

hi all, sorry again for the thousands of stupid questions! but heres another one...

 

 

ok i said for part (a) that the PDE is a hyperbolic type and so has two sets of real characteristics. and that the characteristics are

 

then for part (b) i used the coordinates:

 

which leads to the equation:

 

but then i am stuck... how can i get the 'general solution' from this, i think i am heading in the right direction, but i am not sure.

 

any help would be greatly appreciated!

 

thanks

 

Sarah