hi guys, having trouble completing this equation
du/dt + 2du/dx=-u
solve for u(x,t)
for initial conditions t=0 and u=1 for x<0 and u=0 for x>0
once solving the equation do i give 2 solutions? one for u=1 and the other for u=0?
if any one has an idea of how to get started with the diff equation it would be much appreciated.
thanks in advance