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View Full Version : 2nd order coupled non-linear DE's


mika
Jul23-04, 07:42 AM
I was able to convert a certain group of PDEs to just two coupled ODEs, but it seems there is no closed form solution. I'd settle for an approximate series solution or something like that, but IF!!!! there is an analytic solution I'd be very happy! :smile:

( f(z)^2 - g(z)^2 ) = -a + f''(z)/b
2*f*g = g''(z)/b

f(0) = 0
g(0) = 0
f(1) = 0
g(1) = 1