Solving non homogeneous transport equations

This video addresses the method used to solve the first order pdes of the form au_x + bu_y = f(t) and the transport equation with a non homogeneous term

[adamaalieujawo]

you really make difficult things look so easy. Good work. I wish I could the book you are using for PDEs

[manuelchamp]

Thank you boss. God bless you. I wish I could know the book you used for the PDE's

[amaoye]

please the -1/12 cosx+1/12cox0, i don't really get that part at time 11:07 of the video

[wubrestsenahagn]

my brother can you send a laurent series example for me