Recent content by johnep

  1. J

    First order Linear PDE, Method of Characteristics

    The correct answer is: u=x/y + ln y + y^2/2 + 1/2 You can check that this satisfies both the PDE and the initial condition: u(x,1)=1+x If you're still interested in this I'll try to write more. I haven't done this stuff for 30 years so I'm a little rusty.