Anyone know how to solve the boundary value problem du/dx = 4*(du/dy), where u is a function of x and y and the initial condition is u(0,y) = 8e^-3y + 4e^-5y?

Question

dumbcow · Answer

does it help that you can arrange it as
$$\frac{dy}{dx} = 4$$
$$\rightarrow y = 4x +C$$

anonymous · Answer

I am supposed to solve for U(x,y).  So that doesn't really help.  Good idea though.

dumbcow · Answer

yeah didn't think so here is a reference for boundary value problems...i'm not an expert at these http://tutorial.math.lamar.edu/Classes/DE/PDESummary.aspx

anonymous · Answer

CoC guys we cant give answers!! you are violating the rule @dumbcow

dumbcow · Answer

??  i didn't give any solutions...i didn't really help at all :|

anonymous · Answer

Yeah I don't know what he is talking about.  Thanks for at least giving it a shot though.  I've been looking around the paul's notes site.  no luck so far...

dumbcow · Answer

yeah i just realized that pauls notes doesn't really go into boundary problems for multi-variable functions