U(0,t) = 50 & U(x,0) = 20
U(0,0)=50=20 inconsistency ?
I have this assignment question which I am stuck on.
Ut + 2*Ux = -(U-20) with U(0,t) = 50 & U(x,0) = 20
I get; dt/1 = dx/2 = du/-(U-20)
From which I get b = t - (1/2)x
And U(x,t) = e^[-t-f(b)] + 20
For which I can only satisfy the initial condition U(0,t) = 50
I am struggling to understand what I am meant to do, please help.