I can't seem to find an explicit or analytical solution to a boundary value problem and thought I might ask those more knowledgeable on the subject than me. If t is an independent variable and m(t) and n(t) are two dependent variables with the following 8 constraints:(adsbygoogle = window.adsbygoogle || []).push({});

a) m' =0 @T=0 and t=pi/2 b) n' =0 @T=0 and t=pi/2

c) m' ' =0 @T=0 and t=pi/2 d) n' ' =0 @T=0 and t=pi/2

I need to solve the following differential equation:

(((1+1/4)+((pi/2-t)+m)/pi)∙(1+m^' )+((3-1/4)-((pi/2-t)-n)/pi)∙(1-n^' )) + (((1+1/4)+(t+m)/pi)∙(1+m^' )+((3-1/4)-(t-n)/pi)∙(1-n^' )) = 1

for m(t) and n(t), you can assume a profile for one of them as long as it is satisfies the conditions listed above. Thus far I've had no luck finding a profile for both that can satisfy those boundary conditions.

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# A Boundary Value Problem Requiring Quarterwave Symmetry

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