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anonymous

  • 5 years ago

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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  1. myininaya
    • 5 years ago
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    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...

  2. anonymous
    • 5 years ago
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    Thanks..

  3. myininaya
    • 5 years ago
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    same thing for the second one i get B=B same case here B can be any constant

  4. anonymous
    • 5 years ago
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    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???

  5. myininaya
    • 5 years ago
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    yes thats what i would do

  6. myininaya
    • 5 years ago
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    but any solution of that form is a solution

  7. anonymous
    • 5 years ago
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    Excellent, thankyou :-)

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