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- anonymous

Hi folks, I solved a 2nd order DE to obtain the general solution:
y = A cos2x + B sin2x - (1/5) sin3x
When I apply the two boundary conditions:
y(-pi) = y(pi) and y'(-pi) = y'(pi) I get:
A = A and B = B, what does this mean and have I applied the boundary conditions correctly??

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- anonymous

- chestercat

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- myininaya

yes for the first one I get A=A. when you get the same thing on both sides I believe that means A can be any constant
let me look at the second one...

- anonymous

Thanks..

- myininaya

same thing for the second one
i get B=B
same case here B can be any constant

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- anonymous

Cheers, so having assertained that A and B are constants, how would I write that as an answer? Would I just write the general solution and say that A and B are constants???

- myininaya

yes thats what i would do

- myininaya

but any solution of that form is a solution

- anonymous

Excellent, thankyou :-)

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