Re: 1st order DE with Boundary values



First order DE can admit only one auxiliary condition and cannot be
solved as a bvp, always as an ivp.

Hop wrote:


Hello! I hope that someone out there can please help me. I'm
trying
to solve a 1st order differential equation, with boundary values,
in
Matlab. I've tried bvp4c, but quite obviously, it seems to only
accept systems of 1st order DEs, not just 1 equation.
Here's the original equation:
eps*u*y''+(u-eps)*y'-y = -delta - (1- (u/eps))*exp(-t/eps)
where eps, u, delta are arbitrary constants.
y(0) = 0
y(1) = 1 + delta
We then wanted to see what happens if eps=0, or u = 0, and delta
being 0.1 -> then the y'' term falls away, and terms change
accordingly.
Is there a way of solving this first order DE with boundary values?

Is there maybe a way of setting it up as a system? Please help!
Any
help would be much appreciated.

Many thanks,
Hop
.



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